what is the least number that is divisible by 4,8, and 12
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what is the least number that is divisible by 4,8, and 12
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Answer:
24
Step-by-step explanation:
Least number that divisible by 4,8 and 12 is 24
Answer:
Think about it: you need a common multiple of 4, 8 and 12 that is also a square number.
Our first 12 square numbers:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
Now, you could go through your multiplication tables, but first off, get shot of your odd numbers (since all multiples of 4, 8 and 12 are even numbers), and we’re left with:
4, 16, 36, 64, 100, 144
Great. Now rule out anything that doesn’t divide by 12, since that’s a far bigger list, and we’re left with:
36, 144
Now anything that doesn’t divide by 8, and we’re left with:
144.
We can also check this:
144 / 4 = 36
144/ 8 = 18
144 / 12 = 12
Since 144 divides into all three without a remainder, that’s our answer