Question

Find the HCF AND LCM OF 1152 AND 1664​

Answer 1

Answer:

НCF (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 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

1664 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The HCF of the numbers is

HCF(1152, 1664) = 2 x 2 x 2 x 2 x 2 x 3 x 3

HCF(1152, 1664) = 32 x 9

HCF(1152, 1664) = 288

The LCM of the numbers is

LCM (1152,1664) = 2 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

LCM (1152,1664)=128 x 27

LCM(1152, 1664) = 3456

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