Question

Question 2 (iii)
Find the LCM and HCF of the following pairs of integers and verify that LCM $\times$ HCF = product of the two numbers.
336 and 54

Answer 1

$336=2\times 2\times 2\times 2\times 3\times 7$
$54=2\times 3\times 3\times 3$
HCF = 2 $\times$ 3 = 6
LCM = $2\times 2\times 2\times 2\times 3\times 3\times 3\times 7=3024$
Product of two numbers = 336 $\times$ 54 =18144
Product of HCF and LCM = 6 $\times$ 3024 = 18144
Hence, product of two numbers = HCF $\times$ LCM.