Math, asked by JayRavalani, 1 year ago

Find the least number which when increased by 17 is divisible by both 520 and 468

Answers

Answered by Mayank9432
3
answer is 35
hope it's helps!!!!
pls give it brainliest
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Mayank9432: how is the answer
siddhartharao77: Nice Explanation. But I think the answer is not 35
JayRavalani: Ya
JayRavalani: The answer is 46663
JayRavalani: 4663*
Mayank9432: see the process it's right and the answer also
Mayank9432: now I see my ans is wrong
siddhartharao77: If possible u can correct your answer now. Ur wish
Mayank9432: good job Siddhartharao77
Answered by siddhartharao77
2
This kind of questions should be solved in this way:

Let the number be x.

The least number which is divisible by 520 & 468 will be LCM of 520 & 468.

Prime factorization of 520 = 2 * 2 * 2 * 5 * 13.

Prime factorization of 468 = 2 * 2 * 3 * 3 * 13.

LCM(520,468) = 2 * 2 * 2 * 3 * 3 * 5 * 13

                         = 4680.


Now, 

Given that the number is increased by 7.

x + 17 = 4680

x = 4680 - 17

x = 4663.



Therefore the least number = 4663.


Hope this helps!

siddhartharao77: Thanks Jay for the brainliest
Mayank9432: good job Siddhartharao77
siddhartharao77: Thanks Bro
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