Given numbers are 916,331,756,624

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

The LCM of 916,331,756,624 is 2979810288.

Find LCM of 916,331,756,624 with Prime Factorization

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

2 x 2 x 3 x 229 x 331 x 63 x 52 = 2979810288

Therefore, the lowest common multiple of 916,331,756,624 is 2979810288.

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.

916 x 331 x 756 x 624 = 143030893824

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.

916 : 1, 2, 4, 229, 458, 916

331 : 1, 331

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,331,756,624, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

331:331

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

624:2x 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 3 = 48

Therefore, the value for common factors is 48.

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 = 143030893824/(1x48)

LCM = 143030893824/48

LCM = 2979810288

Thus, we can understand that the LCM of 916,331,756,624 is 2979810288.

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

• LCM of 810, 382, 680, 951
• LCM of 158, 892, 798, 962
• LCM of 175, 382, 895, 176
• LCM of 881, 736, 279, 636
• LCM of 906, 103, 217, 685

1. What is the LCM of 916, 331, 756, 624?

Answer: LCM of 916, 331, 756, 624 is 2979810288.

2. How to calculate the LCM of 916, 331, 756, 624?

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 916, 331, 756, 624.

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}.