Given numbers are 914,872,980,660,596

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

The LCM of 914,872,980,660,596 is 480063821160.

Find LCM of 914,872,980,660,596 with Prime Factorization

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

2 x 2 x 5 x 457 x 218 x 49 x 33 x 149 = 480063821160

Therefore, the lowest common multiple of 914,872,980,660,596 is 480063821160.

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.

914 x 872 x 980 x 660 x 596 = 307240845542400

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.

914 : 1, 2, 457, 914

872 : 1, 2, 4, 8, 109, 218, 436, 872

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

596 : 1, 2, 4, 149, 298, 596

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,872,980,660,596, is 2.

Now, the common factors can be found like this.

914:2x 457

872:2x 2x 2x 109

980:2x 2x 5x 7x 7

660:2x 2x 3x 5x 11

596:2x 2x 149

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 = 307240845542400/(2x320)

LCM = 307240845542400/640

LCM = 480063821160

Thus, we can understand that the LCM of 914,872,980,660,596 is 480063821160.

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

• LCM of 796, 786, 552, 366, 517
• LCM of 983, 555, 874, 533, 213
• LCM of 477, 975, 962, 996, 933
• LCM of 965, 889, 853, 547, 116
• LCM of 391, 722, 196, 481, 366

1. What is the LCM of 914, 872, 980, 660, 596?

Answer: LCM of 914, 872, 980, 660, 596 is 480063821160.

2. How to calculate the LCM of 914, 872, 980, 660, 596?

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 914, 872, 980, 660, 596.

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}.