Question

Find the Lcm of 85,113,69

Answer 1

Lcm is 662745

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Answer 2

Answer:

The lcm of 85, 113, and 69 is$662745$.

Step-by-step explanation:

Given: The numbers are 85, 113, and 69.

We have to find the lcm of the above numbers.

• As we know, LCM denotes the least common factor or multiple of any two or more given integers.

We are solving in the following way:

We have,

The numbers are 85, 113, and 69.

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

Prime Factorization of 69 is:

$3 \times 23 => 3^1 \times 23^1$

Prime Factorization of 85 is:

$5 \times 17 => 5^1 \times 17^1$

Prime Factorization of 113 is:

113 is prime  =>  $113^1$

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 list is:

3, 5, 17, 23, 113

Multiplying these factors together to find the LCM.

$LCM = 3 \times 5 \times 17 \times 23 \times 113 = 662745$