Question

Using fundamental theorem arithmetic, find the HCF&LCM of 15, 18 and 45

Answer 1

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Step-by-step explanation:

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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Answer 2

here is your ans

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