What is the LCM of 36,8,72,12 ?

ajedrezlaproa6j 2021-12-14 Answered
What is the LCM of 36,8,72,12 ?
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Charles Benedict
Answered 2021-12-15 Author has 32 answers
So LCM means the lowest common multiple which in other words means what is the smallest number that is divisible by all the numbers you have present.
ie what is the smallest number which can be divided by 36,8,72 and 12 without any remainders?
So looking at the multiples of all the numbers you have
multiplies of 36:36,72,108,
multiplies of 8:8,16,24,32,40,48,56,64,72,80,88,96,
multiplies of 72:72,144,216,
multiplies of 12:12,24,36,48,60,72,84,96,108,120,
From above, you can clearly see that 72 is the answer because it is the first common number that you can find in each of the multiples of 36,8,72 and 12.

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boronganfh
Answered 2021-12-16 Author has 33 answers
You can find the LCM and HC of any set of numbers by breaking each one down into the product of its prime factors:
36=2×2×3×3
8=2×2×2
72=2×2×2×3×3
12=2×2×3
LCM=2×2×2×3×3
The LCM must contain all the prime factors of all the numbers, but without unnecessary duplicates.
Both 8 and 72 have 23
Both 36 and 72 have 32
But we only need 23 and 32 to include all the numbers.

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