Given numbers are 642,132,115,766,686

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

The LCM of 642,132,115,766,686 is 213377411940.

Find LCM of 642,132,115,766,686 with Prime Factorization

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

2 x 3 x 107 x 22 x 115 x 383 x 343 = 213377411940

Therefore, the lowest common multiple of 642,132,115,766,686 is 213377411940.

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 132 x 115 x 766 x 686 = 5121057886560

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

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

115 : 1, 5, 23, 115

766 : 1, 2, 383, 766

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,132,115,766,686, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

132:2x 2x 3x 11

115:5x 23

766:2x 383

686:2x 7x 7x 7

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 = 5121057886560/(1x24)

LCM = 5121057886560/24

LCM = 213377411940

Thus, we can understand that the LCM of 642,132,115,766,686 is 213377411940.

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

• LCM of 997, 482, 509, 575, 929
• LCM of 361, 257, 774, 339, 458
• LCM of 898, 559, 226, 547, 180
• LCM of 231, 464, 233, 858, 334
• LCM of 827, 903, 458, 980, 520

1. What is the LCM of 642, 132, 115, 766, 686?

Answer: LCM of 642, 132, 115, 766, 686 is 213377411940.

2. How to calculate the LCM of 642, 132, 115, 766, 686?

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, 132, 115, 766, 686.

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}.