Math, asked by MrAnujkumar2918, 1 year ago

Using fundamental theorem of arithmetic find the lcm and hcf of 816 and 170

Answers

Answered by nikitasingh79
133
FUNDAMENTAL THEOREM OF ARITHMETIC :
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.

•HCF of two or more numbers = Product of the smallest power of each common prime factor involved in the numbers.

•LCM of two or more numbers = Product of the greatest power of each prime factor involved in the numbers with highest power.

SOLUTION IS IN THE ATTACHMENT…

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Answered by rpatgur
14

Answer:

LCM= 4080 ; HCF= 34

Step-by-step explanation:

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

The prime factors of 170= 2×5×17

LCM of 816 and 170= 24×3×5×17= 4080

HCF of 816 and 170=2×17= 34

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