Question

find hcf×lcm=product of two numbers verify 54 and 18​

Answer 1

Given:

hcf × lcm = product of two numbers

To find:

find hcf × lcm = product of two numbers verify 54 and 18​

Solution:

From given, we have,

54 and 18​

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

Then the greatest common factor is 18

The least common multiple is 54

∴ hcf × lcm = 18 × 54 = 972

The  product of numbers = 18 × 54 = 972

Hence verified hcf × lcm = product of two numbers

Answer 2

HCF * LCM = product of two numbers

$54 = 2 \times 3 {}^{2} \times 3 \: \: \: \: \: and \: 18 = 2 \times {3}^{2}$

HCF = 18

LCM = 18 * 3 = 54

HCF * LCM = product of two numbers

=)18 * 54 = product of two numbers

=) 972= product of two numbers