Given numbers are 684,262,194,489,730

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

The LCM of 684,262,194,489,730 is 517106028060.

Find LCM of 684,262,194,489,730 with Prime Factorization

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

2 x 3 x 114 x 131 x 97 x 163 x 365 = 517106028060

Therefore, the lowest common multiple of 684,262,194,489,730 is 517106028060.

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 262 x 194 x 489 x 730 = 12410544673440

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

262 : 1, 2, 131, 262

194 : 1, 2, 97, 194

489 : 1, 3, 163, 489

730 : 1, 2, 5, 10, 73, 146, 365, 730

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,262,194,489,730, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

262:2x 131

194:2x 97

489:3x 163

730:2x 5x 73

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 3 = 24

Therefore, the value for common factors is 24.

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 = 12410544673440/(1x24)

LCM = 12410544673440/24

LCM = 517106028060

Thus, we can understand that the LCM of 684,262,194,489,730 is 517106028060.

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

• LCM of 104, 446, 665, 352, 621
• LCM of 209, 172, 380, 158, 626
• LCM of 593, 971, 226, 127, 594
• LCM of 673, 803, 874, 830, 769
• LCM of 639, 422, 932, 892, 889

1. What is the LCM of 684, 262, 194, 489, 730?

Answer: LCM of 684, 262, 194, 489, 730 is 517106028060.

2. How to calculate the LCM of 684, 262, 194, 489, 730?

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, 262, 194, 489, 730.

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}.