Question

Check the property LCM and HCF of two numbers 24and 36

Answer 1

Answer:

LCM of 24 and 36

The multiples of 24 are … , 48, 72, 96, ….

The multiples of 36 are …, 36, 72, 108, …

The common multiples of 24 and 36 are n x 72, intersecting the two sets above, n ϵ Z .

In the intersection multiples of 24 ∩ multiples of 36 the least positive element is 72.

HCF IF 24 and 36

Factors of 24 = 1, 2, 3, 4, 6, 8, 12 and 24.

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18 and 36.

Therefore, common factor of 24 and 36 = 1, 2, 3, 4, 6, 8 and 12.

Highest common factor (H.C.F) of 24 and 36 = 12.