Given numbers are 460,516,128,492,779

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

The LCM of 460,516,128,492,779 is 1479227520.

Find LCM of 460,516,128,492,779 with Prime Factorization

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

2 x 2 x 3 x 41 x 115 x 43 x 32 x 1 x 19 = 1479227520

Therefore, the lowest common multiple of 460,516,128,492,779 is 1479227520.

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.

460 x 516 x 128 x 492 x 779 = 11644479037440

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.

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

128 : 1, 2, 4, 8, 16, 32, 64, 128

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

779 : 1, 19, 41, 779

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,516,128,492,779, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

516:2x 2x 3x 43

128:2x 2x 2x 2x 2x 2x 2

492:2x 2x 3x 41

779:19x 41

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 2x 2x 3x 41 = 7872

Therefore, the value for common factors is 7872.

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 = 11644479037440/(1x7872)

LCM = 11644479037440/7872

LCM = 1479227520

Thus, we can understand that the LCM of 460,516,128,492,779 is 1479227520.

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

• LCM of 999, 891, 116, 828, 572
• LCM of 954, 427, 506, 613, 346
• LCM of 358, 749, 280, 306, 260
• LCM of 711, 779, 907, 829, 843
• LCM of 810, 407, 193, 417, 168

1. What is the LCM of 460, 516, 128, 492, 779?

Answer: LCM of 460, 516, 128, 492, 779 is 1479227520.

2. How to calculate the LCM of 460, 516, 128, 492, 779?

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 460, 516, 128, 492, 779.

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}.