what is the least common multiple of 72 and 120?\na 90\nb 360\nc 2160\nd 24
what is the least common multiple of 72 and 120?\na 90\nb 360\nc 2160\nd 24
Answer
Explanation:
Step1: Prime - factorize the numbers
$72 = 2^{3}\times3^{2}$ $120=2^{3}\times3\times5$
Step2: Find the LCM
For the LCM, take the highest power of each prime factor. For prime factor 2, the highest power is $2^{3}$; for 3, it is $3^{2}$; for 5, it is $5^{1}$. Then $LCM(72,120)=2^{3}\times3^{2}\times5 = 360$
Answer:
B. 360