What is the LCM of 12 and 16?
3 Answers
Least Common Multiple is
Explanation:
Multiples of
Multiples of
Hence, common multiples are
and Least Common Multiple is
48
Explanation:
Consider the smaller of the 2 numbers, that is 12 and it's multiples. That is 12 times (2,3,4,5,6,7,8,9). When the larger number 16 divides exactly into one of the multiples of 12 then that is the LCM.
• Can 12 be divided exactly by 16 ? No - so not 12.
• Can 24 be divided exactly by 16 ? No - so not 24.
• Can 36 be divided exactly by 16 ? No-so not 36.
• Can 48 be divided exactly by 16 > Yes 3 times.
rArr48 " is the LCM of " 12" and " 16
Explanation:
Write each number as the product of its prime factors. Then you know what you working with.
The LCM must be contain all of the prime factors, but without unnecessary duplicates.
This is the same method which is used in Algebra.