Given numbers are 312,684,624,862

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

The LCM of 312,684,624,862 is 15329808.

Find LCM of 312,684,624,862 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 57 x 2 x 431 = 15329808

Therefore, the lowest common multiple of 312,684,624,862 is 15329808.

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 684 x 624 x 862 = 114789602304

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

862 : 1, 2, 431, 862

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,684,624,862, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

684:2x 2x 3x 3x 19

624:2x 2x 2x 2x 3x 13

862:2x 431

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 13 = 3744

Therefore, the value for common factors is 3744.

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 = 114789602304/(2x3744)

LCM = 114789602304/7488

LCM = 15329808

Thus, we can understand that the LCM of 312,684,624,862 is 15329808.

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

• LCM of 413, 308, 181, 777
• LCM of 502, 901, 721, 753
• LCM of 724, 944, 962, 319
• LCM of 921, 241, 842, 296
• LCM of 523, 591, 174, 185

1. What is the LCM of 312, 684, 624, 862?

Answer: LCM of 312, 684, 624, 862 is 15329808.

2. How to calculate the LCM of 312, 684, 624, 862?

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, 684, 624, 862.

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}.