What is the lowest common multiple of 12, 36 and 20?A. 160 B. 220C. 120 D. 180Options :ABCD
Question
What is the lowest common multiple of 12, 36 and 20?
Options :
- A. 160
- B. 220
- C. 120
- D. 180
Solution
The lowest common multiple (LCM) of 12, 36, and 20 can be found by first finding the prime factorization of each number:
- 12 = 2^2 * 3
- 36 = 2^2 * 3^2
- 20 = 2^2 * 5
The LCM is found by multiplying the highest power of each prime number together. In this case, the highest power of 2 is 2^2, the highest power of 3 is 3^2, and the highest power of 5 is 5.
So, the LCM is 2^2 * 3^2 * 5 = 4 * 9 * 5 = 180.
Therefore, the answer is D. 180.
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