21.Find the smallest square
number that is divisible by
each of the numbers 4, 9, 10
Answers
Answered by
1
Answer: 900
Solution:
First we have to calculate L.C.M of 4 , 9 and 10
The prime factors of 4 = 2 x 2
The prime factors of 9 = 3 x 3
The prime factors of 10 = 2 x 5
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new list is
2, 2, 3, 3, 5
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 3 x 3 x 5 = 180
To make it a perfect square, we have to multiply by "5" i. e 180 x 5 = 900
Answered by
2
the smallest square number that is divisible by 4,9 and 10 is 900.
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