Given numbers are 468,926,138,990,920

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

The LCM of 468,926,138,990,920 is 548210520.

Find LCM of 468,926,138,990,920 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 23 x 13 x 463 x 1 x 11 x 2 = 548210520

Therefore, the lowest common multiple of 468,926,138,990,920 is 548210520.

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 926 x 138 x 990 x 920 = 54470197267200

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

926 : 1, 2, 463, 926

138 : 1, 2, 3, 6, 23, 46, 69, 138

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,926,138,990,920, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

926:2x 463

138:2x 3x 23

990:2x 3x 3x 5x 11

920:2x 2x 2x 5x 23

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 23 = 49680

Therefore, the value for common factors is 49680.

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 = 54470197267200/(2x49680)

LCM = 54470197267200/99360

LCM = 548210520

Thus, we can understand that the LCM of 468,926,138,990,920 is 548210520.

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

• LCM of 910, 923, 633, 642, 228
• LCM of 112, 493, 325, 459, 282
• LCM of 308, 775, 848, 562, 237
• LCM of 823, 632, 593, 976, 979
• LCM of 200, 918, 364, 296, 435

1. What is the LCM of 468, 926, 138, 990, 920?

Answer: LCM of 468, 926, 138, 990, 920 is 548210520.

2. How to calculate the LCM of 468, 926, 138, 990, 920?

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, 926, 138, 990, 920.

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}.