Given numbers are 728,349,756,478,315

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

The LCM of 728,349,756,478,315 is 8197633080.

Find LCM of 728,349,756,478,315 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 26 x 349 x 3 x 239 x 5 = 8197633080

Therefore, the lowest common multiple of 728,349,756,478,315 is 8197633080.

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.

728 x 349 x 756 x 478 x 315 = 28921249506240

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

349 : 1, 349

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

478 : 1, 2, 239, 478

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,349,756,478,315, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

349:349

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

478:2x 239

315:3x 3x 5x 7

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

2x 2x 2x 3x 3x 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 28921249506240/(1x3528)

LCM = 28921249506240/3528

LCM = 8197633080

Thus, we can understand that the LCM of 728,349,756,478,315 is 8197633080.

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

• LCM of 630, 784, 702, 719, 956
• LCM of 229, 170, 102, 195, 269
• LCM of 379, 758, 669, 164, 589
• LCM of 206, 267, 805, 374, 194
• LCM of 466, 313, 764, 288, 615

1. What is the LCM of 728, 349, 756, 478, 315?

Answer: LCM of 728, 349, 756, 478, 315 is 8197633080.

2. How to calculate the LCM of 728, 349, 756, 478, 315?

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 728, 349, 756, 478, 315.

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}.