Given numbers are 312,630,814,747

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

The LCM of 312,630,814,747 is 1106665560.

Find LCM of 312,630,814,747 with Prime Factorization

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

2 x 3 x 3 x 52 x 35 x 407 x 83 = 1106665560

Therefore, the lowest common multiple of 312,630,814,747 is 1106665560.

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.

312 x 630 x 814 x 747 = 119519880480

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.

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

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

814 : 1, 2, 11, 22, 37, 74, 407, 814

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,630,814,747, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

630:2x 3x 3x 5x 7

814:2x 11x 37

747:3x 3x 83

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 119519880480/(1x108)

LCM = 119519880480/108

LCM = 1106665560

Thus, we can understand that the LCM of 312,630,814,747 is 1106665560.

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

• LCM of 210, 170, 218, 364
• LCM of 118, 560, 874, 637
• LCM of 961, 810, 485, 523
• LCM of 184, 499, 336, 360
• LCM of 785, 519, 426, 677

1. What is the LCM of 312, 630, 814, 747?

Answer: LCM of 312, 630, 814, 747 is 1106665560.

2. How to calculate the LCM of 312, 630, 814, 747?

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 312, 630, 814, 747.

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}.