alleryUsing the highest prime powers, what is the lcm of 48 and 180?
A360
B540
C720
D900
Answer & Solution
Correct answer: C. 720
1. 48 = 2⁴ x 3 and 180 = 2² x 3² x 5.
2. Take the highest power of each prime: 2⁴ x 3² x 5 = 720.
3. The other values are not common multiples of both numbers.
_Source: Wikipedia, Greatest common divisor, section Using prime factorizations_
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