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Chapter 1: Q. 1.5 (page 10)

Find the LCM of 9 and 12 using the Prime Factors Method.

Short Answer

Expert verified

The LCM of 9 and 12 is 36.

Step by step solution

01

Step 1. Given information

The given numbers are 9 and 12.

We have to calculate the LCM of the given numbers using the prime factorization method.

02

Step 2. Prime factorize 9 and 12

Now,

鈬�9=3脳3

and,

鈬�12=2脳6鈬�12=2脳2脳3

03

Step 3. Calculating the LCM.

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
Thus,

鈬�LCM=2脳2脳3脳3鈬�LCM=4脳9鈬�LCM=36

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