Given numbers are 988,763,468,460

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

The LCM of 988,763,468,460 is 780228540.

Find LCM of 988,763,468,460 with Prime Factorization

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

2 x 2 x 13 x 19 x 763 x 9 x 115 = 780228540

Therefore, the lowest common multiple of 988,763,468,460 is 780228540.

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.

988 x 763 x 468 x 460 = 162287536320

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

763 : 1, 7, 109, 763

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,763,468,460, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

763:7x 109

468:2x 2x 3x 3x 13

460:2x 2x 5x 23

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 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 162287536320/(1x208)

LCM = 162287536320/208

LCM = 780228540

Thus, we can understand that the LCM of 988,763,468,460 is 780228540.

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

• LCM of 215, 130, 232, 514
• LCM of 327, 870, 348, 380
• LCM of 357, 394, 833, 345
• LCM of 297, 559, 607, 856
• LCM of 307, 581, 785, 821

1. What is the LCM of 988, 763, 468, 460?

Answer: LCM of 988, 763, 468, 460 is 780228540.

2. How to calculate the LCM of 988, 763, 468, 460?

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 988, 763, 468, 460.

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}.