Question
The L.C.M. of 50 and 60 is___________.
- 200
- 300
- 400
- 500
Hint:
The least common multiple (LCM) of two or more given numbers is the smallest number that is a multiple of all the given numbers.
Find the prime factors of 50 and 60.
Find the common factors and multiply it with the rest of the numbers.
The correct answer is: 300
Step 1: Find the prime factors of 50 and 60.
50 = 2 x 5 x 5
60 = 2 x 2 x 3 x 5
Step 2:
LCM = 2 x 5 x 5 x 2 x 3
LCM = 300
The correct option is (b) 300.
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