Given numbers are 677,816,291,446,198

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

The LCM of 677,816,291,446,198 is 394338667536.

Find LCM of 677,816,291,446,198 with Prime Factorization

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

2 x 3 x 677 x 136 x 97 x 223 x 33 = 394338667536

Therefore, the lowest common multiple of 677,816,291,446,198 is 394338667536.

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.

677 x 816 x 291 x 446 x 198 = 14196192031296

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.

677 : 1, 677

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

291 : 1, 3, 97, 291

446 : 1, 2, 223, 446

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,816,291,446,198, is 1.

Now, the common factors can be found like this.

677:677

816:2x 2x 2x 2x 3x 17

291:3x 97

446:2x 223

198:2x 3x 3x 11

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 14196192031296/(1x36)

LCM = 14196192031296/36

LCM = 394338667536

Thus, we can understand that the LCM of 677,816,291,446,198 is 394338667536.

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

• LCM of 338, 214, 662, 762, 523
• LCM of 633, 984, 561, 751, 120
• LCM of 534, 565, 237, 134, 981
• LCM of 493, 496, 260, 393, 585
• LCM of 116, 851, 723, 708, 943

1. What is the LCM of 677, 816, 291, 446, 198?

Answer: LCM of 677, 816, 291, 446, 198 is 394338667536.

2. How to calculate the LCM of 677, 816, 291, 446, 198?

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 677, 816, 291, 446, 198.

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}.