Given numbers are 312,508,208,390

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

The LCM of 312,508,208,390 is 396240.

Find LCM of 312,508,208,390 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 127 x 2 x 5 = 396240

Therefore, the lowest common multiple of 312,508,208,390 is 396240.

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 508 x 208 x 390 = 12857195520

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

508 : 1, 2, 4, 127, 254, 508

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,508,208,390, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

508:2x 2x 127

208:2x 2x 2x 2x 13

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 13x 13 = 16224

Therefore, the value for common factors is 16224.

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 = 12857195520/(2x16224)

LCM = 12857195520/32448

LCM = 396240

Thus, we can understand that the LCM of 312,508,208,390 is 396240.

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

• LCM of 763, 869, 450, 613
• LCM of 185, 521, 314, 676
• LCM of 175, 478, 882, 812
• LCM of 676, 971, 541, 453
• LCM of 132, 440, 871, 709

1. What is the LCM of 312, 508, 208, 390?

Answer: LCM of 312, 508, 208, 390 is 396240.

2. How to calculate the LCM of 312, 508, 208, 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, 508, 208, 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}.