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Lcm And Hcf Questions

Practice 33 Lcm And Hcf questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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33
Total Questions
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2
Easy
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31
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Practice by Exam:Quantitative Aptitude(29)Mathematics(3)Quantitative Aptitude@NUM: 70(1)

About LCM and HCF — practice questions, PYQs & concepts

LCM and HCF is a frequently-tested topic on Quantitative Aptitude, Mathematics, Quantitative Aptitude@NUM: 70. ExamTest.live currently lists 33 LCM and HCF questions spanning previous-year papers from 2026 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

LCM and HCF weight in competitive exams

Across our LCM and HCF question bank, the largest sources are Quantitative Aptitude (29), Mathematics (3) and Quantitative Aptitude@NUM: 70 (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 2 easy LCM and HCF questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
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  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Lcm And Hcf Questions(1–33 of 33)

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Q1easymcqQuantitative AptitudeCompetitive Exam Practice2026
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Two numbers are in the ratio of 5:7 and their LCM is 385. Find the numbers.
Q2mediummcqQuantitative AptitudeCompetitive Exams2026
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Find the smallest number which will be completely divisible by and .
Q3mediummcqQuantitative AptitudeCompetitive Exams2026
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An officer of the army wants to arrange his soldiers to stand in rows of and . If he wants to arrange them in a solid square also, then find the minimum number of soldiers.
Q4mediummcqQuantitative AptitudeCompetitive Exam2026
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What is the smallest number which when increased by 17 becomes exactly divisible by both 520 and 936?
Q5mediummcqQuantitative AptitudeCompetitive Exam2026
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What is the largest 4-digit number that is divisible by 10,15 and 18?
Q6mediummcqQuantitative AptitudeUP Police Constable2026
What is the least number which when divided by , and leaves in each case a remainder of ?
Q7mediummcqQuantitative AptitudeUP Police Constable2026
The sum of two numbers is and their HCF and LCM are and respectively. The sum of the reciprocals of the two numbers is:
Q8mediummcqMathematicsUPTET 2021 Memory Based Paper 12026
The product of L.C.M. and H.C.F. of two numbers is 336 and their difference is 10. Then the numbers are?
Q9mediummcqQuantitative AptitudePractice Paper2026
The LCM of two numbers is and their HCF is . If the sum of the numbers is , then find their difference.
Q10mediummcqQuantitative AptitudeCompetitive Exam2026
Find the LCM of , , and .
Q11mediummcqQuantitative AptitudeCompetitive Exams2026
The sum of two numbers is and their HCF is . How many pairs of these numbers are possible?
Q12mediummcqQuantitative AptitudeCompetitive Exams2026
What is the smallest positive integer that is divisible by both and ?
Q13mediummcqQuantitative AptitudeCompetitive Exam2026
The LCM and HCF of the numbers and are in the ratio of
Q14mediummcqQuantitative AptitudeCompetitive Exams2026
Five bells ring at intervals of 3, 5, 6, 8 and 9 seconds. If all the bells ring once together, after how long a period would the bells ring together again?
Q15mediummcqQuantitative AptitudeWBCS Prelims 20212026
The smallest number which when divided by 12, 15, 20 or 54 leaves a remainder of 4 in each case, is:
Q16mediummcqQuantitative AptitudeWBCS Prelims 20212026
Find the largest possible 4-digit number divisible by 45, 18 and 35.
Q17mediummcqQuantitative AptitudeWBCS Prelims 20212026
The least number which when diminished by 5 is divisible by each of 21, 28, 36, 45 is:
Q18mediummcqQuantitative AptitudeWBCS Prelims 20212026
If the ratio of three numbers are and their LCM is 1200, then the smallest number is:
Q19mediummcqQuantitative AptitudeWBCS Prelims 20192026
If , and , then will be:
Q20mediummcqQuantitative AptitudeUP Police Constable2026
Find the LCM of , , and .
Q21mediummcqQuantitative AptitudeUP Police Constable2026
The LCM of , and is:
Q22mediummcqMathematicsCompetitive Exam2026
Find the LCM of , , .
Q23mediummcqQuantitative AptitudePractice Test2026
If the HCF of two numbers is , which of the following values can never be their LCM?
Q24mediummcqQuantitative AptitudePractice Test2026
The LCM of two multiples of is . If the first number is , which of the following is the second number?
Q25mediummcqQuantitative AptitudePractice Test2026
The Highest Common Factor of three consecutive even numbers is:
Q26mediummcqQuantitative AptitudePractice Test2026
Determine the Least Common Multiple (LCM) of the algebraic expressions and .
Q27mediummcqQuantitative AptitudeCompetitive Exam2026
The LCM and HCF of two numbers are 1920 and 4, respectively. One of the numbers is 60. Find the other number.
Q28mediummcqQuantitative Aptitude@NUM: 70SSC CGL2026
Let be the least number which when divided by and leaves the remainders and , respectively, but is divisible by . When is divided by , the quotient is:
Q29mediummcqQuantitative AptitudeCompetitive Exam2026
Find the least square number which is divisible by 4,8,2,6 and 12?
Q30mediummcqQuantitative AptitudeAdda2472026
Three friends , and start running around a circular stadium and complete a single round in , and respectively. After how many minutes will they meet again at the starting point?
Q31easymcqQuantitative AptitudeAdda2472026
Find the LCM of .
Q32mediummcqQuantitative AptitudeCompetitive Exam Paper2026
The LCM and HCF of the numbers and are in the ratio of:
Q33mediummcqMathematicsCompetitive Exam2026
The LCM of two numbers is and their HCF is . If the sum of the numbers is , then find their difference.

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We have 33 Lcm And Hcf questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
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Lcm And Hcf questions are commonly asked in Quantitative Aptitude, Mathematics, Quantitative Aptitude@NUM: 70. You can filter by exam using the links above.
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Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.