Given numbers are 910,416,552,312

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

The LCM of 910,416,552,312 is 1004640.

Find LCM of 910,416,552,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 35 x 4 x 23 x 1 = 1004640

Therefore, the lowest common multiple of 910,416,552,312 is 1004640.

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.

910 x 416 x 552 x 312 = 65197117440

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.

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,416,552,312, is 2.

Now, the common factors can be found like this.

910:2x 5x 7x 13

416:2x 2x 2x 2x 2x 13

552:2x 2x 2x 3x 23

312:2x 2x 2x 3x 13

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 3x 13x 13 = 32448

Therefore, the value for common factors is 32448.

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 = 65197117440/(2x32448)

LCM = 65197117440/64896

LCM = 1004640

Thus, we can understand that the LCM of 910,416,552,312 is 1004640.

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

• LCM of 609, 852, 173, 786
• LCM of 919, 217, 737, 974
• LCM of 933, 654, 789, 645
• LCM of 666, 104, 910, 223
• LCM of 663, 885, 227, 876

1. What is the LCM of 910, 416, 552, 312?

Answer: LCM of 910, 416, 552, 312 is 1004640.

2. How to calculate the LCM of 910, 416, 552, 312?

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 910, 416, 552, 312.

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}.