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

LCM of 4 is ______.

  1. 1

  2. 2

  3. 3

  4. Can't be determined
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

We always need at least two numbers to find the LCM.

Multiple choice

LCM of 15 and 9 is ______.

  1. 18

  2. 45

  3. 135

  4. 230
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Multiples of 15 = 15, 30, 45, 60 Multiples of 9 = 9, 18, 27, 36, 45, 54 LCM = 45

Multiple choice

LCM of 2 and 6 is ____.

  1. 2

  2. 6

  3. 12

  4. 18
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Multiples of 2 = 2, 4, 6, 8, 10, 12, 14 Multiples of 6 = 6, 12 LCM of 2 and 6 = 6

Multiple choice

HCF of 24 and 16 is ______.

  1. 8

  2. 16

  3. 24

  4. 32
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Factors of 24 = 2 × 2 × 2 × 3 Factors of 16 = 2 × 2 × 2 × 2 HCF of 24 and 16 = 2 × 2 × 2 = 8

Multiple choice

LCM of 1 and 2 is ______.

  1. 1

  2. 2

  3. 4

  4. 6
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Multiples of 1 = 1, 2, 3, ... Multiples of 2 = 2, 4, ... LCM of 1 and 2 = 2

Multiple choice

HCF of 56 and 40 is _____.

  1. 6

  2. 8

  3. 10

  4. 19
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Factors of 56 = 2 × 2 × 2 × 7 Factors of 40 = 2 × 2 × 2 × 5 HCF of 56 and 40 = 2 × 2 × 2 = 8

Multiple choice

LCM of 3 and 4 is ______.

  1. 3

  2. 4

  3. 12

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

Multiples of 3 = 3, 6, 9, 12, 15 Multiples of 4 = 4, 8, 12, 16 LCM of 3 and 4 = 12

Multiple choice

What is the HCF of 1470 and 220?

  1. 8

  2. 9

  3. 10

  4. 11
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Factors of 1470 = 2 × 5 × 7 × 3 × 7 Factors of 220 = 2 × 2 × 5 × 11 HCF of 1470 and 220 = 10

Multiple choice

What is the HCF of 594 and 1265?

  1. 9

  2. 11

  3. 13

  4. 15
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Factors of 594 = 2 × 3 × 3 × 2 × 11 Factors of 1265 = 5 × 23 × 11 HCF of 594 and 1265 = 11