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Q.

Using the fundamental theorem of arithmetic, find the LCM of and .

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a

b

c

d

answer is A.

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Detailed Solution

Concept:
We are given two numbers

and

. We have to calculate the LCM using the fundamental theorem of arithmetic that every integer greater than one is either prime or the product of a unique combination of prime numbers.
Every integer greater than one is either prime or the product of a unique combination of prime numbers, according to the Fundamental Theorem of Arithmetic.
Prime factors of the following numbers are;

Now, we'll calculate the LCM. LCM of two numbers is the smallest positive integer basically which is properly divisible by the numbers.
To find the LCM, we must take each number from the factors, and if a number is in a pair, we must take one of them.

Hence, the correct answer is option 1) 255

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Using the fundamental theorem of arithmetic, find the LCM of and .