1.find the smallest square number that is divisible by each of the numbers 5,10 and 25.
Answers
Answered by
2
Step-by-step explanation:
2 number is smallest square number is dividable of 5,10and 25
Answered by
5
Answer:
The smallest square number which is divisible by all the given three numbers 5, 10 and 25 is 100.
Step-by-step explanation:
Given,
Two things we need to consider,
1. The number should be divided by 5, 10 and 25
2. It should be a square number.
Considering first one,
Find out the LCM of 5, 10 and 25
We get.
Thus, the LCM
In order to get a perfect square, the powers must be even so we are now multiplying by 2 to make the power of 2 as an even one.
Thus, the LCM becomes
Thus, 100 is a square number and it is divisible by all the three numbers i.e., 5, 10 and 25.
Thus, the number is 100.
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