Question

6. Find the L.cm of the following numbers & prime factorisation method tap 12 and 15 ​

Answer 1

Answer:

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Answer 2

Given:

We have given two numbers which are 12 and 15.

To Find:

We have to find the L.C.M of two numbers by prime fatorization?

Step-by-step explanation:

We have given two numbers which are 12 and 15.

• Prime Factors : Prime factors of any number are that factor of any number which are themselves also a prime number.

• Prime number: Anumber is siad to be prime if it is only divisible by itself or 1.

• Now first of all we will write the prime factors of 12 which are as follows as

        $\textrm{Prime factors of 12}=2\times2\times3$

• Prime factors of 15 are given by

        $\textrm{Prime factors of 15}=3\times5$

• Now we will find the common factors of 12 and 15 which are

         $\textrm{common factor of 12 and 15}=$3

• Hence the L.C.M of 12 and 15 is given by the multiplying thefactors of 12 and 15 but common multiple only one time

       $L.CM =2\times2\times3\times5=60$

Hence, the L.C.M of the 12 and 15 is 60.