Question

Find HCF of 378,180 and 420 by factorisation method .hcf*lcm of 3 number equal to the product three number

Answer 1

The required answer is in the attachment.

Answer 2

Answer:

$HCF(378,420,180)=6$

LCM*HCF is not equal to the product of the three numbers.

Step-by-step explanation:

Given : Numbers 378, 420 and 180

To find : The HCF by prime factorization?

Solution :

Factors of numbers  

$378=2\times 3\times 3\times 3\times 7$

$180=2\times 2\times 3\times 3\times 5$

$420=2\times 2\times 3\times 5\times 7$

The HCF of the numbers is  

$HCF(378,420,180)=2\times 3=6$

And LCM of 378, 180 and 420 is

$LCM(378,420,180)=2\times2\times3\times3\times3\times5\times7 = 3780$

To check

Whether LCM (378, 180 and 420) × HCF (378, 180 and 420) is equal to the product of the three numbers.

$3780\times6 = 378\times180\times420\\\\22680\neq 28576800$

Hence, LCM*HCF is not equal to the product of the three numbers.