Math, asked by hudahussainae, 8 months ago

find the smallest number when divided by 24 , 36 and 54 gives a remainder of 5 each time
first and most explained answer will be marked brainliest

Answers

Answered by anandkumar4549
2

Answer: 221

Step-by-step explanation:

Prime factorization of

24 = 2 × 2 × 2 × 3

36 = 2 × 2 × 3 × 3

54 = 2 × 3 × 3 × 3

Required LCM = 2 × 2 × 2 × 3 × 3 × 3 = 216

The smallest number which is exactly divisible by 24, 36 and 54 is 216

In order to get remainder as 5

Required smallest number = 216 + 5 = 221

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Answered by harpreetsingh4866
1

Answer:

221

Step-by-step explanation:

Prime factorization of

24 = 2 × 2 × 2 × 3

36 = 2 × 2 × 3 × 3

54 = 2 × 3 × 3 × 3

So the required LCM = 2 × 2 × 2 × 3 × 3 × 3 = 216

The smallest number which is exactly divisible by 24, 36 and 54 is 216

In order to get remainder as 5

Required smallest number = 216 + 5 = 221

Therefore, the smallest number which when divided by 24, 26 and 54 gives a remainder of 5 each time is 221.

PLS MARK IT AS THE BRAINLIEST

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