Using fundamental theorem of arithmetic find the lcm and hcf of 816 and 170
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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…
HOPE THIS WILL HELP YOU...
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…
HOPE THIS WILL HELP YOU...
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Answered by
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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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