Given numbers are 460,127,468,808,218

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

The LCM of 460,127,468,808,218 is 150496112520.

Find LCM of 460,127,468,808,218 with Prime Factorization

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

2 x 2 x 115 x 127 x 117 x 202 x 109 = 150496112520

Therefore, the lowest common multiple of 460,127,468,808,218 is 150496112520.

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.

460 x 127 x 468 x 808 x 218 = 4815875600640

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

127 : 1, 127

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

808 : 1, 2, 4, 8, 101, 202, 404, 808

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,127,468,808,218, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

127:127

468:2x 2x 3x 3x 13

808:2x 2x 2x 101

218:2x 109

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 2 = 32

Therefore, the value for common factors is 32.

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 = 4815875600640/(1x32)

LCM = 4815875600640/32

LCM = 150496112520

Thus, we can understand that the LCM of 460,127,468,808,218 is 150496112520.

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

• LCM of 255, 583, 244, 738, 505
• LCM of 425, 888, 947, 276, 424
• LCM of 902, 749, 894, 123, 190
• LCM of 940, 453, 741, 625, 174
• LCM of 848, 937, 613, 208, 420

1. What is the LCM of 460, 127, 468, 808, 218?

Answer: LCM of 460, 127, 468, 808, 218 is 150496112520.

2. How to calculate the LCM of 460, 127, 468, 808, 218?

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 460, 127, 468, 808, 218.

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}.