Given numbers are 311,766,292,689,998

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

The LCM of 311,766,292,689,998 is 11958089015756.

Find LCM of 311,766,292,689,998 with Prime Factorization

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

2 x 311 x 383 x 146 x 689 x 499 = 11958089015756

Therefore, the lowest common multiple of 311,766,292,689,998 is 11958089015756.

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.

311 x 766 x 292 x 689 x 998 = 47832356063024

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.

311 : 1, 311

766 : 1, 2, 383, 766

292 : 1, 2, 4, 73, 146, 292

689 : 1, 13, 53, 689

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,766,292,689,998, is 1.

Now, the common factors can be found like this.

311:311

766:2x 383

292:2x 2x 73

689:13x 53

998:2x 499

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 47832356063024/(1x4)

LCM = 47832356063024/4

LCM = 11958089015756

Thus, we can understand that the LCM of 311,766,292,689,998 is 11958089015756.

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

• LCM of 562, 141, 660, 354, 876
• LCM of 606, 432, 993, 511, 842
• LCM of 852, 839, 386, 504, 402
• LCM of 829, 833, 184, 906, 851
• LCM of 348, 476, 974, 259, 562

1. What is the LCM of 311, 766, 292, 689, 998?

Answer: LCM of 311, 766, 292, 689, 998 is 11958089015756.

2. How to calculate the LCM of 311, 766, 292, 689, 998?

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 311, 766, 292, 689, 998.

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}.