Given numbers are 312,812,756,421,390

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

The LCM of 312,812,756,421,390 is 1199900520.

Find LCM of 312,812,756,421,390 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 2 x 29 x 9 x 421 x 5 = 1199900520

Therefore, the lowest common multiple of 312,812,756,421,390 is 1199900520.

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 812 x 756 x 421 x 390 = 31446992828160

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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

421 : 1, 421

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,812,756,421,390, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

812:2x 2x 7x 29

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

421:421

390:2x 3x 5x 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 3x 3x 7x 13 = 26208

Therefore, the value for common factors is 26208.

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 = 31446992828160/(1x26208)

LCM = 31446992828160/26208

LCM = 1199900520

Thus, we can understand that the LCM of 312,812,756,421,390 is 1199900520.

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

• LCM of 487, 211, 289, 283, 801
• LCM of 590, 982, 113, 827, 213
• LCM of 116, 312, 583, 356, 478
• LCM of 419, 554, 727, 850, 966
• LCM of 114, 128, 956, 732, 434

1. What is the LCM of 312, 812, 756, 421, 390?

Answer: LCM of 312, 812, 756, 421, 390 is 1199900520.

2. How to calculate the LCM of 312, 812, 756, 421, 390?

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, 812, 756, 421, 390.

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}.