Question

find LCM of 142and200​

Answer 1

Answer:

14200 is the lcm......

Answer 2

Answer:

The lcm of 142 and 200​ is 14,200.

Step-by-step explanation:

Given: The numbers are 142 and 200​.

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 142 and 200​.

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

Prime Factorization of 142 is:

$2 \times 71 => 2^1 \times 71^1$

Prime Factorization of 200 is:

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

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, 5, 5, 71

Multiplying these factors together to find the LCM.

$LCM = 2 \times 2 \times 2 \times 5 \times 5 \times 71 = 14200$

Therefore,

LCM(142, 200) = 14,200