Math, asked by Avainsh6374, 1 year ago

FIND THE GREATEST 4- DIGIT NUMBER THAT IS EXACTLY DIVISIBLE BY 12,15,18AND 27

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Answered by uknaresh1234radhe
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Find the largest number of four digit which is exactly divisible by 27, 18,12, 15?

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3132

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Anshul Prajapati, studies at Harcourt Butler Technical University, Kanpur (2021)

Answered Apr 2, 2017

First find the factors which the number must have in order to be divisible by 18,27,12,15.

18=3×3×2

27=3×3×3

12=2×2×3

15=3×5

Taking the maximum multiple of all the prime numbers.

27,4,5.

Therefore the number must be a multiple of 340.

The largest four digit multiple of 340 is 9860.

ANSWER= 9860.




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