Given numbers are 395,580,715,416,572

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

The LCM of 395,580,715,416,572 is 52418080.

Find LCM of 395,580,715,416,572 with Prime Factorization

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

2 x 2 x 5 x 11 x 13 x 79 x 29 x 1 x 8 x 1 = 52418080

Therefore, the lowest common multiple of 395,580,715,416,572 is 52418080.

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.

395 x 580 x 715 x 416 x 572 = 38978084288000

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.

395 : 1, 5, 79, 395

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

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

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,580,715,416,572, is 1.

Now, the common factors can be found like this.

395:5x 79

580:2x 2x 5x 29

715:5x 11x 13

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

572:2x 2x 11x 13

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 5x 5x 11x 13x 13 = 743600

Therefore, the value for common factors is 743600.

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 = 38978084288000/(1x743600)

LCM = 38978084288000/743600

LCM = 52418080

Thus, we can understand that the LCM of 395,580,715,416,572 is 52418080.

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

• LCM of 342, 506, 129, 326, 207
• LCM of 681, 113, 535, 952, 651
• LCM of 649, 788, 116, 946, 944
• LCM of 604, 967, 985, 107, 166
• LCM of 707, 154, 585, 682, 335

1. What is the LCM of 395, 580, 715, 416, 572?

Answer: LCM of 395, 580, 715, 416, 572 is 52418080.

2. How to calculate the LCM of 395, 580, 715, 416, 572?

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 395, 580, 715, 416, 572.

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}.