find the smallest number which when added to 5 is exactly divisible by 12,14,18 Question find the smallest number which when added to 5 is exactly divisible by 12,14,18 in progress 0 Math Quinn 1 week 2021-09-11T12:06:04+00:00 2021-09-11T12:06:04+00:00 2 Answers 0 views 0

## Answers ( )

Answer:the answer is 247

Step-by-step explanation:The required smallest number which when added to 5 is exactly divisible by 12,14,18 is 247.

Step-by-step explanation:

To find : The smallest number which when added to 5 is exactly divisible by 12,14,18 ?

Solution :

First we find the LCM of the numbers 12,14,18.

2 | 12 14 18

2 | 6 7 9

3 | 3 7 9

3 | 1 7 3

7 | 1 7 1

| 1 1 1

LCM(12,14,18)=2\times 2\times 3\times 3\times 7LCM(12,14,18)=2×2×3×3×7

LCM(12,14,18)=252LCM(12,14,18)=252

Now, Subtract 5 from the number

252-5=247252−5=247

Therefore, the required smallest number which when added to 5 is exactly divisible by 12,14,18 is 247.

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