which number is a common multiple of 10 and 12? 10 12 20 24 30 36 40 48 50 60 70 72
which number is a common multiple of 10 and 12? 10 12 20 24 30 36 40 48 50 60 70 72
Answer
Explanation:
Step1: Find prime - factorizations
$10 = 2\times5$; $12=2^{2}\times3$.
Step2: Calculate the LCM
The LCM is $2^{2}\times3\times5=60$. All common multiples of 10 and 12 are multiples of their LCM.
Step3: Check the options
Among the given numbers, 60 is a multiple of both 10 ($60\div10 = 6$) and 12 ($60\div12 = 5$).
Answer:
60