Given numbers are 577,914,914,382,916

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

The LCM of 577,914,914,382,916 is 46133972684.

Find LCM of 577,914,914,382,916 with Prime Factorization

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

2 x 457 x 577 x 1 x 1 x 191 x 458 = 46133972684

Therefore, the lowest common multiple of 577,914,914,382,916 is 46133972684.

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.

577 x 914 x 914 x 382 x 916 = 168665804132704

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.

577 : 1, 577

914 : 1, 2, 457, 914

914 : 1, 2, 457, 914

382 : 1, 2, 191, 382

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,914,914,382,916, is 1.

Now, the common factors can be found like this.

577:577

914:2x 457

914:2x 457

382:2x 191

916:2x 2x 229

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 457 = 3656

Therefore, the value for common factors is 3656.

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 = 168665804132704/(1x3656)

LCM = 168665804132704/3656

LCM = 46133972684

Thus, we can understand that the LCM of 577,914,914,382,916 is 46133972684.

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

• LCM of 728, 908, 360, 251, 726
• LCM of 844, 587, 232, 214, 260
• LCM of 241, 137, 229, 413, 353
• LCM of 103, 592, 505, 930, 564
• LCM of 638, 533, 440, 394, 752

1. What is the LCM of 577, 914, 914, 382, 916?

Answer: LCM of 577, 914, 914, 382, 916 is 46133972684.

2. How to calculate the LCM of 577, 914, 914, 382, 916?

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 577, 914, 914, 382, 916.

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}.