Question

What is the LCM of 12,32,36

Answer 1

Concept

LCM means lowest common factor. It is the lowest number which can be divided by all the numbers whose LCM is found.

Given

Numbers=12,32,36

To find

LCM of the given numbers.

Explanation

We have to find lowest common factor of 12,32,36 which can be written as =2*2*2*2*2*3*3

=288

Hence the LCM Of 12,32,36 is 288.

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Answer 2

Answer:

Step-by-step explanation:

LCM:

The smallest number equally divisible by the two integers is known as the Least Common Multiple (LCM) of two numbers. It is often referred to as LCD, or the Least Common Divisor

LCM of 12,32,36:

Given:

Three numbers $12,32,36$

To find:

LCM of given numbers

Solution:

• List out the prime factors of given numbers

                                $12$   → $2^{2} *3$

                                $32$ → $2^{5}$

                                 $36$ → $2^{2}*3^{2}$

• The prime factors of given numbers are in the powers of $2$ and $3$.
• The highest power of $2$ in the factorization is $5$  i.e. $2^{5}$
• The highest power of $3$ in the factorization is $2$ i.e. $3^{2}$
• So , the product of $2^{5}$ and $3^{2}$  gives the least common multiple of given numbers.

LCM($12,32,36$) = $2^{5} *3^{2}$

                       = $32*9$

                       =$288$

Hence, LCM($12,32,36$) = $288$

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