Given numbers are 910,700,645,416,580

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

The LCM of 910,700,645,416,580 is 272344800.

Find LCM of 910,700,645,416,580 with Prime Factorization

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

2 x 2 x 5 x 7 x 13 x 1 x 5 x 129 x 8 x 29 = 272344800

Therefore, the lowest common multiple of 910,700,645,416,580 is 272344800.

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.

910 x 700 x 645 x 416 x 580 = 99133507200000

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

645 : 1, 3, 5, 15, 43, 129, 215, 645

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,700,645,416,580, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

700:2x 2x 5x 5x 7

645:3x 5x 43

416:2x 2x 2x 2x 2x 13

580:2x 2x 5x 29

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 5x 5x 5x 7x 13 = 364000

Therefore, the value for common factors is 364000.

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 = 99133507200000/(1x364000)

LCM = 99133507200000/364000

LCM = 272344800

Thus, we can understand that the LCM of 910,700,645,416,580 is 272344800.

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

• LCM of 282, 178, 795, 721, 603
• LCM of 286, 734, 322, 499, 118
• LCM of 405, 940, 645, 261, 152
• LCM of 169, 552, 779, 690, 486
• LCM of 851, 240, 512, 153, 114

1. What is the LCM of 910, 700, 645, 416, 580?

Answer: LCM of 910, 700, 645, 416, 580 is 272344800.

2. How to calculate the LCM of 910, 700, 645, 416, 580?

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 910, 700, 645, 416, 580.

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}.