Given numbers are 780,875,910,974

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

The LCM of 780,875,910,974 is 66475500.

Find LCM of 780,875,910,974 with Prime Factorization

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

2 x 5 x 7 x 13 x 6 x 25 x 1 x 487 = 66475500

Therefore, the lowest common multiple of 780,875,910,974 is 66475500.

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.

780 x 875 x 910 x 974 = 604927050000

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

875 : 1, 5, 7, 25, 35, 125, 175, 875

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,875,910,974, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

875:5x 5x 5x 7

910:2x 5x 7x 13

974:2x 487

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 5x 5x 7x 13 = 9100

Therefore, the value for common factors is 9100.

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 = 604927050000/(1x9100)

LCM = 604927050000/9100

LCM = 66475500

Thus, we can understand that the LCM of 780,875,910,974 is 66475500.

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

• LCM of 903, 614, 940, 223
• LCM of 761, 413, 857, 211
• LCM of 204, 711, 112, 747
• LCM of 527, 413, 622, 625
• LCM of 209, 404, 383, 805

1. What is the LCM of 780, 875, 910, 974?

Answer: LCM of 780, 875, 910, 974 is 66475500.

2. How to calculate the LCM of 780, 875, 910, 974?

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 780, 875, 910, 974.

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}.