Question

Find the LCM and HCF of 39 and 65
and and verify that LCM × HCF product
of two numbers​

Answer 1

To prove:

$lcm \times hcf = product \: of \: two \: numbers$

LHS:

$39 = 3 \times 13 \\ 65 = 5 \times 13$

$lcm \: = 3 \times 5 \times 13 = 195$

$hcf = 13$

$lcm \times hcf = 2535$

LHS = 2535

RHS

$product \: of \: two \: numbers \: = 39 \times 65 \\ = 2535$

RHS = 2535

LHS = RHS

Hence the product of two numbers is equal to product of LCM and HCF.