Given numbers are 642,468,924,195,410

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

The LCM of 642,468,924,195,410 is 790449660.

Find LCM of 642,468,924,195,410 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 107 x 3 x 77 x 1 x 41 = 790449660

Therefore, the lowest common multiple of 642,468,924,195,410 is 790449660.

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.

642 x 468 x 924 x 195 x 410 = 22195826452800

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

195 : 1, 3, 5, 13, 15, 39, 65, 195

410 : 1, 2, 5, 10, 41, 82, 205, 410

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,468,924,195,410, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

468:2x 2x 3x 3x 13

924:2x 2x 3x 7x 11

195:3x 5x 13

410:2x 5x 41

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 3x 3x 3x 5x 13 = 28080

Therefore, the value for common factors is 28080.

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 = 22195826452800/(1x28080)

LCM = 22195826452800/28080

LCM = 790449660

Thus, we can understand that the LCM of 642,468,924,195,410 is 790449660.

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

• LCM of 867, 631, 937, 903, 870
• LCM of 540, 645, 170, 499, 331
• LCM of 158, 547, 789, 893, 147
• LCM of 218, 684, 506, 634, 390
• LCM of 558, 556, 238, 131, 666

1. What is the LCM of 642, 468, 924, 195, 410?

Answer: LCM of 642, 468, 924, 195, 410 is 790449660.

2. How to calculate the LCM of 642, 468, 924, 195, 410?

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 642, 468, 924, 195, 410.

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}.