Math, asked by aditimsant1350, 7 months ago

LCM of 8,9,10 LCM of 8,9,10
LCM of 8,9,10

Answers

Answered by Darshit2010
12

Answer: Multiples of 8 : 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88.....

9 : 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99.......

10 : 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110.......

CM = 360,.....

LCM = 360

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Answered by sheeb12ansari
0

Given: The numbers are8,9,10.

We have to find the LCM of the above numbers.

We are solving in the following way:

We have,

The numbers are8,9,10.

First, we will list all prime factors for each number.

Prime Factorization of 8 is:

2 \times 2 \times  2  =>  2^3

Prime Factorization of 9 is:

3 \times 3  =>  3^2

Prime Factorization of 10 is:

2 \times 5  =>  2^1  \times5^1

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

The new superset list is

2, 2, 2, 3, 3, 5

Multiplying these factors together to find the LCM.

LCM = 2 \times 2 \times  2 \times  3 \times  3 \times  5 = 360

In exponential form:

LCM = 2^3 \times 3^2  \times  5^1 = 360LCM = 360

Hence, the LCM of the above numbers is360.

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