which pair of numbers has an lcm of 60? 2 and 12 5 and 12 6 and 12 3 and 12

Answer:

B. 5 and 12

Explanation:

Step1: Prime - factorize the numbers

$2 = 2^1$, $12=2^{2}\times3^{1}$, $5 = 5^{1}$, $6 = 2^{1}\times3^{1}$

Step2: Calculate LCM for 2 and 12

$LCM(2,12)=2^{2}\times3^{1}=12$

Step3: Calculate LCM for 5 and 12

$LCM(5,12)=2^{2}\times3^{1}\times5^{1}=60$

Step4: Calculate LCM for 6 and 12

$LCM(6,12)=2^{2}\times3^{1}=12$

Step5: Calculate LCM for 3 and 12

$LCM(3,12)=2^{2}\times3^{1}=12$