Question

Using fundamental theorem of arithmetic. Find lcm and hcf of 816&710

Answer 1

Step-by-step explanation:

ANSWER

According to the fundamental theorem of arithmetic every composite number can be factorised as a product of primes and this factorization is unique apart from the order in which the prime factor occurs.

Fundamental theorem of arithmetic is also called unique factorization theorem.

Composite number = product of prime numbers.

Any Integer greater than 1, either be a prime number or can be written as a product of prime factors.

The prime factors of 816=2×2×2×2×3×17=24 ×3×17

The prime factors of 710=2×5×71

LCM of 816 and 710=24×3×5×17×71=289680

HCF of 816 and 710=2=2