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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 8 - Mathematics
5.7 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 leaves no remainder when divided by 1,2,3,4,5,6,7,8,9 and 10. [Hint: The number = LCM of the given numbers]
2640
None of these
2520
2564

Q 2: Find the least natural number which when divided by 18, 24 and 30 leaves the remainder 14,20,26 respectively.
346
386
376
356

Question 3: This question is available to subscribers only!

Question 4: This question is available to subscribers only!


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