Given numbers are 314,664,488,793,377

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

The LCM of 314,664,488,793,377 is 2397391256.

Find LCM of 314,664,488,793,377 with Prime Factorization

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

2 x 2 x 2 x 13 x 61 x 157 x 83 x 1 x 1 x 29 = 2397391256

Therefore, the lowest common multiple of 314,664,488,793,377 is 2397391256.

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.

314 x 664 x 488 x 793 x 377 = 30418100256128

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.

314 : 1, 2, 157, 314

664 : 1, 2, 4, 8, 83, 166, 332, 664

488 : 1, 2, 4, 8, 61, 122, 244, 488

793 : 1, 13, 61, 793

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,664,488,793,377, is 1.

Now, the common factors can be found like this.

314:2x 157

664:2x 2x 2x 83

488:2x 2x 2x 61

793:13x 61

377:13x 29

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 13x 61 = 12688

Therefore, the value for common factors is 12688.

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 = 30418100256128/(1x12688)

LCM = 30418100256128/12688

LCM = 2397391256

Thus, we can understand that the LCM of 314,664,488,793,377 is 2397391256.

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

• LCM of 736, 912, 897, 833, 428
• LCM of 470, 603, 364, 469, 379
• LCM of 596, 700, 454, 228, 789
• LCM of 261, 974, 217, 108, 414
• LCM of 370, 811, 253, 945, 868

1. What is the LCM of 314, 664, 488, 793, 377?

Answer: LCM of 314, 664, 488, 793, 377 is 2397391256.

2. How to calculate the LCM of 314, 664, 488, 793, 377?

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 314, 664, 488, 793, 377.

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}.