Question

What is the least common multiple of 10 and 15?

Answer 1

Hint: We need to find the least common multiple also known as LCM. As the term itself says that we need to find the minimum multiple of both the number 10 and 15 and we say that number as the least common multiple of the given numbers.

Complete step-by-step answer:
We are given two numbers 10 and 15 of which we need to find the common multiple.
For 10 we can write ($2\times 5\times 1$) and for 15 we can write ($5\times 3\times 1$) so for 10 and 15 both we can write that ($5\times 2 \times3\times 1$) which is the least common multiple of given two number that is 30.
As we can take some multiples of 10 and 15 and then can identify which multiple is common in both
For 10 we have 10, 20, 30, 40, ...
For 15 we have 15, 30, 45, 60, ...
So, we can clearly see that the least multiple of both the numbers that we can observe is 30 itself which we got above by multiplication and division of number by prime number.
Hence, we can conclude that the least common multiple of 10 and 15 is 30.

Note: Remember! Don’t get confused in the least common multiple and greatest common divisor. Know the meaning of terms clearly and then find the solution and use it wherever needed. It’s one of the most useful and easy terms of mathematics.