Question

find the Lcm 15 lcm 40​

Answer 1

2| 15,40

2|15,20

2|15,10

3|15,5

5|5,5

|1,1

Answer 2

Question :

To Find The LCM Of 15 and 40

Solution:

By Prime Factorization Method:

Step 1 : List all prime factors for each number.

• Prime Factorization of 15 is:

3 x 5  => $3^1\times5^1$

• Prime Factorization of 40 is:

2 x 2 x 2 x 5  =>  $2^3\times5^1$

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

2, 2, 2, 3, 5

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

LCM = 2 x 2 x 2 x 3 x 5 = 120

In exponential form:

LCM = $2^3 \times 3^1 \times 5^1$= 120

LCM = 120

Therefore,

LCM(15, 40) = 120

Answer:

120