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#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### Grade 8 - Mathematics5.7 L.C.M. - (Word Problems)

Example:
Find the least natural number which when divided by 8 leaves the remainder 5 and when divided by 12 leaves the remainder 9 and when divided by 18 leaves the remainder 15.

Solution:
DivisorremainderDifference
853
1292
18153
The least number = The L.C.M. of given numbers - difference
The L.C.M. of 8, 12 and 18 is 72.
Therefore, the number = 72-3 = 69.

Directions: Solve the following problems. Also write at least five examples of your own.
 Q 1: Find the least natural number which divided by 2,3,4,5 and 6 leaves the remainder 1. [Hint: The number = LCM of given number + 1]121816141 Q 2: Find the least natural number when divided by 10 leaves the remainder 5 and when divided by 20 leaves remainder 15 when divided by 30 leaves the remainder 25.45855565 Question 3: This question is available to subscribers only! Question 4: This question is available to subscribers only!