Given numbers are 392,864,461,718

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

The LCM of 392,864,461,718 is 7006565664.

Find LCM of 392,864,461,718 with Prime Factorization

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

2 x 2 x 2 x 49 x 108 x 461 x 359 = 7006565664

Therefore, the lowest common multiple of 392,864,461,718 is 7006565664.

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.

392 x 864 x 461 x 718 = 112105050624

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

461 : 1, 461

718 : 1, 2, 359, 718

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,864,461,718, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

864:2x 2x 2x 2x 2x 3x 3x 3

461:461

718:2x 359

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 2 = 16

Therefore, the value for common factors is 16.

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 = 112105050624/(1x16)

LCM = 112105050624/16

LCM = 7006565664

Thus, we can understand that the LCM of 392,864,461,718 is 7006565664.

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

• LCM of 612, 270, 979, 527
• LCM of 819, 882, 149, 732
• LCM of 652, 642, 402, 216
• LCM of 601, 845, 859, 469
• LCM of 406, 183, 386, 506

1. What is the LCM of 392, 864, 461, 718?

Answer: LCM of 392, 864, 461, 718 is 7006565664.

2. How to calculate the LCM of 392, 864, 461, 718?

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 392, 864, 461, 718.

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}.