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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.
Updated on: 10-Oct-2022
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