Question

Find the LCM and HCF of the following integers by applying the prime factorisation method:

40, 36 and 126

Answer 1

Let us first find the factors of 40, 36 and 126

`40=2^2xx5`

`36=2^2xx3^2`

`126=2xx3^3xx7`

L.C.M of 40, 36 and 126 = `2^2xx3^2xx5xx7`

L.C.M of 40, 36 and 126 = 2520

H.C.F of 40, 36 and 126 = 2