Given numbers are 312,629,760,920

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

The LCM of 312,629,760,920 is 428801880.

Find LCM of 312,629,760,920 with Prime Factorization

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

2 x 2 x 2 x 5 x 39 x 629 x 19 x 23 = 428801880

Therefore, the lowest common multiple of 312,629,760,920 is 428801880.

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 629 x 760 x 920 = 137216601600

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

629 : 1, 17, 37, 629

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,629,760,920, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

629:17x 37

760:2x 2x 2x 5x 19

920:2x 2x 2x 5x 23

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 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 137216601600/(1x320)

LCM = 137216601600/320

LCM = 428801880

Thus, we can understand that the LCM of 312,629,760,920 is 428801880.

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

• LCM of 467, 687, 418, 780
• LCM of 994, 820, 243, 751
• LCM of 693, 671, 447, 176
• LCM of 666, 975, 822, 797
• LCM of 447, 601, 962, 320

1. What is the LCM of 312, 629, 760, 920?

Answer: LCM of 312, 629, 760, 920 is 428801880.

2. How to calculate the LCM of 312, 629, 760, 920?

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, 629, 760, 920.

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}.