Given numbers are 461,808,406,684,816

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

The LCM of 461,808,406,684,816 is 439625982096.

Find LCM of 461,808,406,684,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 461 x 101 x 203 x 57 x 34 = 439625982096

Therefore, the lowest common multiple of 461,808,406,684,816 is 439625982096.

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.

461 x 808 x 406 x 684 x 816 = 84408188562432

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.

461 : 1, 461

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,808,406,684,816, is 1.

Now, the common factors can be found like this.

461:461

808:2x 2x 2x 101

406:2x 7x 29

684:2x 2x 3x 3x 19

816:2x 2x 2x 2x 3x 17

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 84408188562432/(1x192)

LCM = 84408188562432/192

LCM = 439625982096

Thus, we can understand that the LCM of 461,808,406,684,816 is 439625982096.

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

• LCM of 140, 458, 828, 647, 708
• LCM of 320, 816, 839, 512, 859
• LCM of 525, 207, 661, 700, 721
• LCM of 666, 646, 292, 740, 156
• LCM of 832, 310, 331, 150, 701

1. What is the LCM of 461, 808, 406, 684, 816?

Answer: LCM of 461, 808, 406, 684, 816 is 439625982096.

2. How to calculate the LCM of 461, 808, 406, 684, 816?

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 461, 808, 406, 684, 816.

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}.