What is the least common multiple of 8 12 and 14?

Answer 1

To find the least common multiple (LCM) of 8, 12, and 14, we first need to find the prime factorization of each number. 8 = 2^3, 12 = 2^2 * 3, and 14 = 2 * 7. Then, we take the highest power of each prime factor that appears in any of the numbers: 2^3 * 3 * 7 = 168. Therefore, the least common multiple of 8, 12, and 14 is 168.

Answer 2

Oh honey, the least common multiple of 8, 12, and 14 is 168. It's like finding the perfect outfit that fits everyone in the group - rare, but when it happens, it's magical. Now go forth and conquer those math problems like the boss you are!

Answer 3

Ah, the least common multiple, what a happy little concept. Let's find the prime factors of each number: 8 is 2 x 2 x 2, 12 is 2 x 2 x 3, and 14 is 2 x 7. To find the least common multiple, we take the highest power of each prime factor that appears in any of the numbers, so it would be 2 x 2 x 2 x 3 x 7, which equals 168. Just like that, we've found a beautiful least common multiple to bring harmony to these numbers.

Answer 4

Oh, dude, least common multiple, that's like when you find the smallest number that all these other numbers can fit into, right? So, for 8, 12, and 14, you just gotta find the smallest number they can all divide into evenly. It's like the smallest party where they can all hang out together without any drama. So, the least common multiple of 8, 12, and 14 is 168.

Answer 5

Factor into primes:

8 = 2*2*2

12 = 2*2*3

14 = 2*7

To cover all three, the LCM will need three 2's, one 3, and one 7.

So the LCM is 2*2*2*3*7 = 168

Answer 6

168

Answer 7

168