Question

26. Find the least number which when divided by 12, 15, 18 and 30 leaves the remainder 6,9,12 and 24 respectively
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Answer 1

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Your answer

In this type of questions , we first find LCM of given numbers and then subtract common value to get the answer.

The LCM of 12 , 15,18 and 30=180. We want the answer 6,9,12 and 24. Now the difference is 6 in each case 12-6=6, 15-6=9,18-6=12 and 30-6=24 .

So, we have to subtract 6 from the LCM→180-6=174

So, (180-6=174) will have remainder of 6,9,12,24 when divided by 12,15,18 and 30 respectively.

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Answer 2

Answer:

Answer is 174

Step-by-step explanation:

Since , 12 - 6 , 15 - 9 , 18 - 12, 30 - 24 are all equal to six ,

WE HAVE TO SUBTRACT 6  FROM LCM OF 12, 15, 18 AND 30

LCM (12, 15, 18, 30) = 180

Hence , 180 - 6 = 174