Given numbers are 117,422,310,914,712

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

The LCM of 117,422,310,914,712 is 1245076995240.

Find LCM of 117,422,310,914,712 with Prime Factorization

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

2 x 117 x 211 x 155 x 457 x 356 = 1245076995240

Therefore, the lowest common multiple of 117,422,310,914,712 is 1245076995240.

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.

117 x 422 x 310 x 914 x 712 = 9960615961920

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.

117 : 1, 3, 9, 13, 39, 117

422 : 1, 2, 211, 422

310 : 1, 2, 5, 10, 31, 62, 155, 310

914 : 1, 2, 457, 914

712 : 1, 2, 4, 8, 89, 178, 356, 712

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,422,310,914,712, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

422:2x 211

310:2x 5x 31

914:2x 457

712:2x 2x 2x 89

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 2 = 8

Therefore, the value for common factors is 8.

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 = 9960615961920/(1x8)

LCM = 9960615961920/8

LCM = 1245076995240

Thus, we can understand that the LCM of 117,422,310,914,712 is 1245076995240.

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

• LCM of 274, 267, 511, 778, 881
• LCM of 931, 184, 481, 682, 466
• LCM of 184, 764, 802, 218, 730
• LCM of 923, 998, 660, 761, 330
• LCM of 540, 194, 828, 508, 700

1. What is the LCM of 117, 422, 310, 914, 712?

Answer: LCM of 117, 422, 310, 914, 712 is 1245076995240.

2. How to calculate the LCM of 117, 422, 310, 914, 712?

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 117, 422, 310, 914, 712.

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}.