Question
Download Solution PDFThe least number that should be added to 35460 so that the sum is exactly divisible by 3, 4, 5 and 7 is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The number are 3, 4, 5 and 7
Concept used:
The least number which is exactly divisible by a, b, and c is the L.C.M of a, b and c
Calculation:
LCM of 3, 4, 5, and 7 is 420
Now,
By dividing 420 from 35460 we get 180 as the remainder
So,
The required number should be added to the next multiple of 420 = 420 - 180
⇒ 240
∴ The required number is 240.
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