Given numbers are 286,672,770,348,494

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

The LCM of 286,672,770,348,494 is 264744480.

Find LCM of 286,672,770,348,494 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 13 x 1 x 8 x 5 x 29 x 19 = 264744480

Therefore, the lowest common multiple of 286,672,770,348,494 is 264744480.

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.

286 x 672 x 770 x 348 x 494 = 25440885550080

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

494 : 1, 2, 13, 19, 26, 38, 247, 494

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,672,770,348,494, is 2.

Now, the common factors can be found like this.

286:2x 11x 13

672:2x 2x 2x 2x 2x 3x 7

770:2x 5x 7x 11

348:2x 2x 3x 29

494:2x 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 3x 7x 11x 13 = 48048

Therefore, the value for common factors is 48048.

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 = 25440885550080/(2x48048)

LCM = 25440885550080/96096

LCM = 264744480

Thus, we can understand that the LCM of 286,672,770,348,494 is 264744480.

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

• LCM of 156, 781, 468, 799, 906
• LCM of 377, 895, 287, 914, 268
• LCM of 443, 210, 357, 213, 801
• LCM of 471, 980, 253, 787, 867
• LCM of 628, 590, 860, 630, 840

1. What is the LCM of 286, 672, 770, 348, 494?

Answer: LCM of 286, 672, 770, 348, 494 is 264744480.

2. How to calculate the LCM of 286, 672, 770, 348, 494?

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 286, 672, 770, 348, 494.

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}.