Question

using prime factorisation,find the HCF and LCM of 1152,1664

Answer 1

Answer:

$HCF(1152,1664)=288$

$LCM(1152,1664)=3456$

Step-by-step explanation:

Given : Numbers 1152,1664

To find : The LCM and HCF of the numbers?

Solution :

Factors of numbers  

$1152=2\times 2\times 2\times2\times 2\times 2\times 2\times 3\times 3$

$1664=2\times 2\times 2\times2\times 2\times 3\times 3\times 3$

The HCF of the numbers is  

$HCF(1152,1664)=2\times 2\times 2\times2\times 2\times3\times3$

$HCF(1152,1664)=32\times9$

$HCF(1152,1664)=288$

The LCM of the numbers is  

$LCM(1152,1664)=2\times 2\times 2\times2\times 2\times 2\times 2\times3\times3\times3$

$LCM(1152,1664)=128\times27$

$LCM(1152,1664)=3456$