Given numbers are 756,195,317

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 756,195,317 is 15577380.

Find LCM of 756,195,317 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

3 x 252 x 65 x 317 = 15577380

Therefore, the lowest common multiple of 756,195,317 is 15577380.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

756 x 195 x 317 = 46732140

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

195 : 1, 3, 5, 13, 15, 39, 65, 195

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,195,317, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

195:3x 5x 13

317:317

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 46732140/(1x3)

LCM = 46732140/3

LCM = 15577380

Thus, we can understand that the LCM of 756,195,317 is 15577380.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 994, 918, 462
• LCM of 862, 587, 961
• LCM of 510, 814, 620
• LCM of 642, 532, 206
• LCM of 511, 534, 877

1. What is the LCM of 756, 195, 317?

Answer: LCM of 756, 195, 317 is 15577380.

2. How to calculate the LCM of 756, 195, 317?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 756, 195, 317.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.