Math, asked by saniya091, 3 months ago

find the l.c.m of 12160​

Answers

Answered by Anonymous
0

Answer:

L.C.M of 12160 = 12160

Step-by-step explanation:

Hope it helps.

Answered by ravan2009
5

Question:

To Find The L.C.M of 12160

Solution:

Since only one number is given the other number will be one

Step 1 : List all prime factors for each number.

  • Prime Factorization of 1 is:

1 is neither prime nor composite  => 1^1\\

  • Prime Factorization of 12160 is:

2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19  =>  2^7 \times 5^1 \times 19^1\\\\

Step 2: For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

1, 2, 2, 2, 2, 2, 2, 2, 5, 19

Step 3 : Multiply these factors together to find the LCM.

LCM = 1 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19 = 12160

In exponential form:

LCM =   1^1\times2^7 \times 5^1 \times 19^1\\\\ = 12160

LCM = 12160

Therefore,

LCM(1, 12160) = 12,160

Answer:

12,160

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