Given numbers are 928,102,756,204

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

The LCM of 928,102,756,204 is 2981664.

Find LCM of 928,102,756,204 with Prime Factorization

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

2 x 2 x 3 x 17 x 232 x 1 x 63 x 1 = 2981664

Therefore, the lowest common multiple of 928,102,756,204 is 2981664.

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.

928 x 102 x 756 x 204 = 14598226944

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

102 : 1, 2, 3, 6, 17, 34, 51, 102

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,102,756,204, is 2.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

102:2x 3x 17

756:2x 2x 3x 3x 3x 7

204:2x 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 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 14598226944/(2x2448)

LCM = 14598226944/4896

LCM = 2981664

Thus, we can understand that the LCM of 928,102,756,204 is 2981664.

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

• LCM of 583, 516, 845, 254
• LCM of 339, 727, 196, 761
• LCM of 627, 933, 528, 730
• LCM of 955, 794, 741, 395
• LCM of 621, 245, 373, 812

1. What is the LCM of 928, 102, 756, 204?

Answer: LCM of 928, 102, 756, 204 is 2981664.

2. How to calculate the LCM of 928, 102, 756, 204?

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 928, 102, 756, 204.

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}.