Given numbers are 564,714,351,502,715

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

The LCM of 564,714,351,502,715 is 108404756460.

Find LCM of 564,714,351,502,715 with Prime Factorization

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

2 x 3 x 13 x 94 x 119 x 9 x 251 x 55 = 108404756460

Therefore, the lowest common multiple of 564,714,351,502,715 is 108404756460.

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.

564 x 714 x 351 x 502 x 715 = 50733426023280

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

351 : 1, 3, 9, 13, 27, 39, 117, 351

502 : 1, 2, 251, 502

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,714,351,502,715, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

714:2x 3x 7x 17

351:3x 3x 3x 13

502:2x 251

715:5x 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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 50733426023280/(1x468)

LCM = 50733426023280/468

LCM = 108404756460

Thus, we can understand that the LCM of 564,714,351,502,715 is 108404756460.

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

• LCM of 765, 592, 208, 331, 115
• LCM of 929, 614, 691, 929, 318
• LCM of 663, 445, 752, 838, 622
• LCM of 226, 772, 879, 314, 838
• LCM of 780, 800, 188, 671, 515

1. What is the LCM of 564, 714, 351, 502, 715?

Answer: LCM of 564, 714, 351, 502, 715 is 108404756460.

2. How to calculate the LCM of 564, 714, 351, 502, 715?

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 564, 714, 351, 502, 715.

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}.