Given numbers are 461,406,580,816

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

The LCM of 461,406,580,816 is 381818640.

Find LCM of 461,406,580,816 with Prime Factorization

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

2 x 2 x 29 x 461 x 7 x 5 x 204 = 381818640

Therefore, the lowest common multiple of 461,406,580,816 is 381818640.

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 406 x 580 x 816 = 88581924480

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

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

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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 461,406,580,816, is 1.

Now, the common factors can be found like this.

461:461

406:2x 7x 29

580:2x 2x 5x 29

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 29 = 232

Therefore, the value for common factors is 232.

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 = 88581924480/(1x232)

LCM = 88581924480/232

LCM = 381818640

Thus, we can understand that the LCM of 461,406,580,816 is 381818640.

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

• LCM of 127, 723, 228, 758
• LCM of 341, 736, 263, 357
• LCM of 233, 974, 966, 696
• LCM of 198, 841, 463, 252
• LCM of 895, 848, 311, 207

1. What is the LCM of 461, 406, 580, 816?

Answer: LCM of 461, 406, 580, 816 is 381818640.

2. How to calculate the LCM of 461, 406, 580, 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, 406, 580, 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}.