Find the least common multiple of the numbers below. 114, 66 and 30
A) 570
B) 95
C) 6,270
D) 1,045
E) none of these

Question

Quizplus · Accepted Answer

The prime factorization of 114 is $2\cdot3\cdot19$, 
the prime factorization of 66 is $2\cdot3\cdot11$,  
and the prime factorization of 30 is $2\cdot3\cdot5$. 
Taking the highest exponent for each prime and multiplying, we get $2^1\cdot3^1\cdot5^1\cdot11^1\cdot19^1=6,\!270$.

Find the Least Common Multiple of the Numbers Below