Question

# ILLUSTRATION : 4 Find the LCM and HCF of the following integers by applying the prime factorisation method. 8, 9 and 25

Solution

SOLUTION :
First we write the prime factorisation of each of the given numbers.
8 = 2 x 2 x 2 = 22,9 = 3 x 3 = 32, 25 = 5 x 5 = 52
ICM = 23 x 32 x 52 = 8 x 9 x 25 = 1800 and HCF = 1
Remark: The product of two positive integers is equal to the product of their HCF and LCM, but the same is not true for three or more
positive integers.