Find the smallest number which when added to 5 is exactly divisible by 12,14 and 18.I want full steps
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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=252
Now, Subtract 5 from the number
Therefore, the required smallest number which when added to 5 is exactly divisible by 12,14,18 is 247.
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