Question

Find the HCF and LCM of 18,36,72 and 108​

Answer 1

The highest common factor of the numbers is 18 and the least common multiple is 216.

Given that,

We have to find the HCF and LCM of numbers 18, 36, 72 and 108.

We know that,

HCF is highest common factor

The divisors of

18 = 1,2,3, 6, 9, 18.

36 = 1,2,3, 4, 6, 9, 12, 18, 36

72 = 1,2,3,4,6,8,9,12,18,24, 36, 72

108 = 1,2,3,4,6,9, 12, 18, 27, 36, 54, 108

Therefore, The highest common factor of the numbers is 18.

LCM is least common multiple

  2   |   18, 36, 72, 108

  3   |    9, 18, 36, 54

  3   |    3, 6, 12, 18

  2   |    1, 2, 4 6

  2   |    1, 1, 2, 3

  3   |    1, 1, 1, 3

       |    1, 1, 1, 1

So,

LCM  = 2× 3× 3× 2× 2× 3 = 216

Therefore, The least common multiple is 216.

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