Given numbers are 684,121,605,952,493

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

The LCM of 684,121,605,952,493 is 2856185640.

Find LCM of 684,121,605,952,493 with Prime Factorization

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

2 x 2 x 11 x 11 x 17 x 171 x 1 x 5 x 14 x 29 = 2856185640

Therefore, the lowest common multiple of 684,121,605,952,493 is 2856185640.

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.

684 x 121 x 605 x 952 x 493 = 23500695445920

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

121 : 1, 11, 121

605 : 1, 5, 11, 55, 121, 605

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,121,605,952,493, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

121:11x 11

605:5x 11x 11

952:2x 2x 2x 7x 17

493:17x 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 11x 11x 17 = 8228

Therefore, the value for common factors is 8228.

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 = 23500695445920/(1x8228)

LCM = 23500695445920/8228

LCM = 2856185640

Thus, we can understand that the LCM of 684,121,605,952,493 is 2856185640.

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

• LCM of 168, 766, 661, 931, 151
• LCM of 393, 302, 519, 851, 553
• LCM of 569, 377, 204, 547, 893
• LCM of 975, 337, 933, 265, 643
• LCM of 246, 575, 786, 294, 846

1. What is the LCM of 684, 121, 605, 952, 493?

Answer: LCM of 684, 121, 605, 952, 493 is 2856185640.

2. How to calculate the LCM of 684, 121, 605, 952, 493?

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 684, 121, 605, 952, 493.

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}.