Question

soluTION:
First we write the prime factorisation of each of the given numbers.
[
8=2 times 2 times 2=2^{3}, 9=3 times 3=3^{2}, 25=5 times 5=5^{2}
]
( therefore quad L C M=2^{3} times 3^{2} times 5^{2}=8 times 9 times 25=1800 ) and ( mathrm{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.

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

Solution