Given numbers are 310,204,377,108,920

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

The LCM of 310,204,377,108,920 is 4935186360.

Find LCM of 310,204,377,108,920 with Prime Factorization

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

2 x 2 x 3 x 5 x 31 x 17 x 377 x 9 x 46 = 4935186360

Therefore, the lowest common multiple of 310,204,377,108,920 is 4935186360.

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.

310 x 204 x 377 x 108 x 920 = 2368889452800

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

377 : 1, 13, 29, 377

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,204,377,108,920, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

204:2x 2x 3x 17

377:13x 29

108:2x 2x 3x 3x 3

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 2x 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 2368889452800/(1x480)

LCM = 2368889452800/480

LCM = 4935186360

Thus, we can understand that the LCM of 310,204,377,108,920 is 4935186360.

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

• LCM of 209, 601, 107, 180, 458
• LCM of 324, 147, 422, 253, 770
• LCM of 100, 291, 811, 234, 978
• LCM of 368, 717, 863, 744, 596
• LCM of 388, 969, 364, 632, 730

1. What is the LCM of 310, 204, 377, 108, 920?

Answer: LCM of 310, 204, 377, 108, 920 is 4935186360.

2. How to calculate the LCM of 310, 204, 377, 108, 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 310, 204, 377, 108, 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}.