Question

Using Prime Factorisation,Find the HAF and LCM of:-
==) 396,1080
==) 1152,1164

COPY PASTE mat karna ​

Answer 1

1. Prime factorization:
2. 396 = 22 × 32 × 11.
3. 1080 = 23 × 33 × 5.
4. HCF = product of smallest power of each common prime factor in the numbers = 22 × 32 = 36.
5. LCM = product of greatest power of each prime factor involved in the numbers = 23 × 33 × 5 × 11 = 11880
6. LCM = 14976. Product of two numbers = 1152 × 1664 = 1916928. LCM × HCF = 14976 × 128 = 1916928.

Answer 2

Answer:

1.Answer: HCF of 396 and 1080 is 36, LCM of 396 and 1080 is 11880.

2.1152=27×32

1664=27×13

LCM (1152, 1664)= 27×32×13=14976

HCF(1152, 1664) = 27=128

Verification : 

HCF×LCM=14976×128=1916928

product of given numbers = 1152×1664=1916928

⇒HCF×LCM= product of given numbers

Step-by-step explanation:

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