Given numbers are 393,121,968,760,920

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

The LCM of 393,121,968,760,920 is 831226440.

Find LCM of 393,121,968,760,920 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 11 x 393 x 1 x 1 x 19 x 23 = 831226440

Therefore, the lowest common multiple of 393,121,968,760,920 is 831226440.

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.

393 x 121 x 968 x 760 x 920 = 32185087756800

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.

393 : 1, 3, 131, 393

121 : 1, 11, 121

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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 393,121,968,760,920, is 1.

Now, the common factors can be found like this.

393:3x 131

121:11x 11

968:2x 2x 2x 11x 11

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 5x 11x 11 = 38720

Therefore, the value for common factors is 38720.

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 = 32185087756800/(1x38720)

LCM = 32185087756800/38720

LCM = 831226440

Thus, we can understand that the LCM of 393,121,968,760,920 is 831226440.

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

• LCM of 192, 843, 135, 768, 664
• LCM of 708, 218, 810, 229, 759
• LCM of 625, 363, 612, 873, 675
• LCM of 993, 896, 734, 454, 901
• LCM of 317, 398, 740, 993, 538

1. What is the LCM of 393, 121, 968, 760, 920?

Answer: LCM of 393, 121, 968, 760, 920 is 831226440.

2. How to calculate the LCM of 393, 121, 968, 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 393, 121, 968, 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}.