Given numbers are 468,107,327,720,642

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

The LCM of 468,107,327,720,642 is 109165680.

Find LCM of 468,107,327,720,642 with Prime Factorization

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

2 x 2 x 3 x 3 x 107 x 13 x 1 x 109 x 20 x 1 = 109165680

Therefore, the lowest common multiple of 468,107,327,720,642 is 109165680.

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.

468 x 107 x 327 x 720 x 642 = 7569111588480

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.

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

107 : 1, 107

327 : 1, 3, 109, 327

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,107,327,720,642, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

107:107

327:3x 109

720:2x 2x 2x 2x 3x 3x 5

642:2x 3x 107

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 3x 3x 3x 3x 107 = 69336

Therefore, the value for common factors is 69336.

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 = 7569111588480/(1x69336)

LCM = 7569111588480/69336

LCM = 109165680

Thus, we can understand that the LCM of 468,107,327,720,642 is 109165680.

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

• LCM of 481, 539, 434, 385, 622
• LCM of 403, 660, 924, 599, 191
• LCM of 195, 144, 111, 118, 882
• LCM of 369, 921, 877, 123, 147
• LCM of 281, 198, 895, 358, 949

1. What is the LCM of 468, 107, 327, 720, 642?

Answer: LCM of 468, 107, 327, 720, 642 is 109165680.

2. How to calculate the LCM of 468, 107, 327, 720, 642?

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 468, 107, 327, 720, 642.

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}.