Question

find the least number which when divided by 16, 36 and 40 leaves 5 as remainder in each case.​

Answer 1

ANSWER-725

STEP-BY-STEP EXPLANATION - -

LCM of 16,36,40=720

TO Make The Remainder 5 We add it to the LCM

So the answer is 725

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Answer 2

Answer:

Solving that question by Least Count Method. Breaking down each of the given numbers into their prime factors using Least Count Method;

16=  2*2*2*2

36= 2*2*3*3

40= 2*2*2*5

Gathering necessary factors, we get LCM of 2*2*2*2*3*3*5= 720

Now adding the remainder 5 in 720 to get 725.

Checking;

725= (16*45)+5

725= (36*20)+5

725= (40*30)+5