Quantitative Aptitude · Mathematics

HCF and LCM

215 Questions

Improve your quantitative aptitude speed by solving these HCF and LCM questions. The problems involve finding the highest common factor and least common multiple for sets of numbers. These calculations form a core part of the mathematics section in SSC, banking, and railway recruitment exams.

Finding HCFFinding LCMGreatest common factorLeast common multipleNumber properties

HCF and LCM Questions

Multiple choice

Which of the following sets of the number has 72 as LCM?

  1. 14, 12, 18

  2. 16, 12, 14

  3. 12, 18, 24

  4. 18, 24, 28
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

12, 18, 24 Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, ... Multiples of 18 = 18, 36, 54, 72, 90, ... Multiples of 24 = 24, 48, 72, 96, ..

LCM of 12, 18 and  24 = 72

Multiple choice

What is the LCM of x2 - z2 and x + z?

  1. (x + z) (x - z)

  2. (x + z)2

  3. (x - z)2

  4. (x - z)
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Factors of x2 - z2 = (x + z) (x - z) Factors of (x + z) = (x + z) LCM = (x + z) (x - z)

Multiple choice

Find the L.C.M of 15 and 25.

  1. 15

  2. 30

  3. 60

  4. 75
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Multiples of 15 = 15, 30, 45, 60, 75 Multiples of 25 = 25, 50, 75, 100 75 is the L. C. M. of 15 and 25

Multiple choice

Find the H.C.F. of 24 and 96.

  1. 8

  2. 12

  3. 24

  4. 36
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24 Factors of 96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 HCF of 24 and 96 is 24