the number of numbers which are multiples of both 3 and 5 in the first hundred natural number is
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hi it is 15
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Answer:
Thus, The number of numbers which are multiples of both 3 and 5 in the first hundred natural number is = 6
Step-by-step explanation:
We need to find number of multiples of 3 and 5 in the numbers from 1 to 100
Now, since L.C.M of (3,5) is 15
So, Number which is multiple of 3 and 5 must be a multiple of 15
So, to find number of numbers which are multiple of both 3 and 5 we find numbers which are multiple of 15
Multiples of 15 in first 100 natural numbers : 15 , 30 , 45 , 60 , 75 , 90
Number of numbers which are multiple of 15 in first 100 natural numbers = 6
Thus, The number of numbers which are multiples of both 3 and 5 in the first hundred natural number is = 6
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