Given numbers are 792,246,940,975,988

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

The LCM of 792,246,940,975,988 is 9424186200.

Find LCM of 792,246,940,975,988 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 66 x 41 x 47 x 5 x 19 = 9424186200

Therefore, the lowest common multiple of 792,246,940,975,988 is 9424186200.

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.

792 x 246 x 940 x 975 x 988 = 176420765664000

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

246 : 1, 2, 3, 6, 41, 82, 123, 246

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,246,940,975,988, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

246:2x 3x 41

940:2x 2x 5x 47

975:3x 5x 5x 13

988:2x 2x 13x 19

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 5x 13 = 18720

Therefore, the value for common factors is 18720.

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 = 176420765664000/(1x18720)

LCM = 176420765664000/18720

LCM = 9424186200

Thus, we can understand that the LCM of 792,246,940,975,988 is 9424186200.

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

• LCM of 642, 527, 271, 209, 161
• LCM of 615, 643, 323, 950, 725
• LCM of 693, 784, 819, 749, 846
• LCM of 592, 809, 694, 590, 746
• LCM of 331, 608, 368, 877, 453

1. What is the LCM of 792, 246, 940, 975, 988?

Answer: LCM of 792, 246, 940, 975, 988 is 9424186200.

2. How to calculate the LCM of 792, 246, 940, 975, 988?

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 792, 246, 940, 975, 988.

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}.