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# The number of numbers which are multiples of both 3 and 5 in first 100 natural numbers is____.

**Given:**

First 100 natural numbers.

**To do:**

We have to find the number of numbers which are multiples of both 3 and 5 in the first 100 natural numbers.

**Solution:**

Multiples of both 3 and 5 in the first 100 natural numbers are the multiples of LCM of 3 and 5.

LCM of 3 and 5 $=3\times5=15$

Multiples of 15 below 100 are 15, 30, 45, 60, 75 and 90.

**The number of numbers which are multiples of both 3 and 5 in the first 100 natural numbers is 6.**

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