Question

Verify the property "The product of two numbers = The product of LCM and HCF of the
numbers" for the given numbers.
(a) 37 and 29. (b) 70 and 168)​

Answer 1

Step-by-step explanation:

(a)

product of numbers 37 and 29 is 1073

$37 \times 29 = 1073$

LCM of 37 and 29

LCM(37,29) = 1073

HCF of 37 and 29

HCF(37,29) = 1

product of numbers 37 and 29 = product of LCM(37,29) and HCF(37,29)

$37 \times 29 = 1073 \times 1 \\ 1073 = 1073$

hence verified

$product of numbers 70 and 168 \: is \: 11760 \\ 70 \times 168 = 11760$

LCM(70,168) = 840

HCF(70,168) = 14

product of numbers 70 and 168 = product of LCM(70,168) and HCF(70,168)

$70 \times 168 = 840 \times 14 \\ 11760 = 11760$

hence verified

"The product of two numbers = The product of LCM and HCF of numbers "

Answer 2

Answer:

Verify the property "The product of two numbers = The product of LCM and HCF of the

numbers" for the given numbers.

(a) 37 and 29. (b) 70 and 168)