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Grade 8 - Mathematics
5.6 L.C.M.

Example:
Find the L.C.M. of 60 and 72.

Solution:
Prime factors of 60 = 2 * 2 * 3 * 5
Prime factors of 72 = 2 * 2 * 2 * 3 * 3
The common prime factors of 60 and 72 are 2, 2 and 3
The remaining prime factors of 60 are 5.
The remaining prime factors of 72 are 2 and 3.
Therefore, L.C.M. = Common prime factors of 60 and 72 * the prime factors left in 60 * the prime factors left in 72.
= 2 * 2 * 3 * 2 * 3 * 5.
= 360.
Therefore, L.C.M. of 60 and 72 is 360.


Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: Find the L.C.M. of 12, 36 and 48.
48
86
144
98

Q 2: Find the L.C.M. of 124 and 248.
None of these
148
124
248

Q 3: Find the L.C.M. of 25 and 75.
75
55
45
65

Q 4: Find the L.C.M. of 24 and 72.
36
72
48
64

Q 5: Find the L.C.M. of 30 and 80.
240
140
180
160

Q 6: Find the L.C.M. of 56 and 72.
420
504
480
380

Q 7: Find the L.C.M. of 56 and 88.
716
516
616
416

Q 8: Find the L.C.M. of 72 and 126.
420
504
480
380

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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