Question: What is the lowest common multiple of 12 and 6?
(1) 6
(2) 12
(3) 3
(4) 4
Solution:
REMEMBER : The lowest common multiple is the smallest whole number that is a multiple of each of two or more numbers.
Write the prime factorisation for each number.
12 = 2*2*3
6 = 2*3
Repeat each prime factor the most number of times it appears in any of the prime factorisations above.
The most the factor 2 appears is twice.
The most the factor 3 appears is once.
So, multiply:
2*2*3 = 12
The lowest common multiple of 12 and 6 is 12.
Then the option is (2) 12.
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