what is the least common multiple of 120 and 80?\na 120\nb 240\nc 40\nd 1200
what is the least common multiple of 120 and 80?\na 120\nb 240\nc 40\nd 1200
Answer
Explanation:
Step1: Prime - factorize the numbers
$120 = 2^{3}\times3\times5$; $80 = 2^{4}\times5$
Step2: Determine the LCM
For the LCM, take the highest power of each prime factor. For 2, the highest power is 4; for 3, it is 1; for 5, it is 1. So, $LCM(120,80)=2^{4}\times3\times5 = 16\times3\times5=240$
Answer:
B. 240