Math, asked by shantichaudhari1988, 6 months ago

find the LCM of 15,25,30​

Answers

Answered by Anonymous
7

Answer:

3|15,25,30

5|5,25,10

1,5,2

LCM=3×5×5×2=150

HOPE IT HELPS YOU, HAVE A GREAT DAY

Answered by sheeb12ansari
0

Answer:

The lcm of 15, 25, and 30​ is 150.

Step-by-step explanation:

The numbers are 15, 25, and 30​.

We have to find the lcm of the above numbers.

  • As we know that lcm is the smallest common multiple of two or more numbers.

We are solving in the following way:

We have,

The numbers are 15, 25, and 30​.

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

Prime Factorization of 15 is:

3 \times 5  =>  3^1 \times 5^1

Prime Factorization of 25 is:

5 \times 5  =>  5^2

Prime Factorization of 30 is:

2 \times 3 \times 5  =>  2^1 \times 3^1 \times 5^1

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, 3, 5, 5

Multiplying these factors together to find the LCM:

LCM = 2 \times 3 \times 5 \times 5 = 150

Therefore,

LCM(15, 25, 30) = 150

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