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Find the least number which leaves remainder 9 in each case when divided by 10, 16 and 24.

 

Asked by Topperlearning User 20th September 2016, 2:01 PM
Answered by Expert
Answer:

To find the least number leaving remainder as 9, when divided by numbers 10, 16 and 24, we need to find its LCM.

 

2

10, 16, 24

2

 5,  8, 12

2

 5, 4, 6

2

 5, 2, 3

3

 5, 1, 3

5

 5, 1, 1

 

 1, 1, 1

 

LCM = 2 x 2 x 2 x 2 x 3 x 5 = 240

240 + 9 = 249 is the required number.

 

Answered by Expert 20th September 2016, 4:01 PM
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