Given numbers are 763,417,460,992

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

The LCM of 763,417,460,992 is 36296947680.

Find LCM of 763,417,460,992 with Prime Factorization

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

2 x 2 x 763 x 417 x 115 x 248 = 36296947680

Therefore, the lowest common multiple of 763,417,460,992 is 36296947680.

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.

763 x 417 x 460 x 992 = 145187790720

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.

763 : 1, 7, 109, 763

417 : 1, 3, 139, 417

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,417,460,992, is 1.

Now, the common factors can be found like this.

763:7x 109

417:3x 139

460:2x 2x 5x 23

992:2x 2x 2x 2x 2x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 145187790720/(1x4)

LCM = 145187790720/4

LCM = 36296947680

Thus, we can understand that the LCM of 763,417,460,992 is 36296947680.

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

• LCM of 405, 654, 593, 956
• LCM of 861, 677, 818, 390
• LCM of 362, 205, 686, 897
• LCM of 905, 699, 311, 285
• LCM of 493, 381, 157, 873

1. What is the LCM of 763, 417, 460, 992?

Answer: LCM of 763, 417, 460, 992 is 36296947680.

2. How to calculate the LCM of 763, 417, 460, 992?

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 763, 417, 460, 992.

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}.