Given numbers are 418,628,748,446,504

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

The LCM of 418,628,748,446,504 is 62694617832.

Find LCM of 418,628,748,446,504 with Prime Factorization

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

2 x 2 x 11 x 19 x 157 x 17 x 223 x 126 = 62694617832

Therefore, the lowest common multiple of 418,628,748,446,504 is 62694617832.

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.

418 x 628 x 748 x 446 x 504 = 44137010953728

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

628 : 1, 2, 4, 157, 314, 628

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

446 : 1, 2, 223, 446

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,628,748,446,504, is 2.

Now, the common factors can be found like this.

418:2x 11x 19

628:2x 2x 157

748:2x 2x 11x 17

446:2x 223

504:2x 2x 2x 3x 3x 7

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 11 = 352

Therefore, the value for common factors is 352.

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 = 44137010953728/(2x352)

LCM = 44137010953728/704

LCM = 62694617832

Thus, we can understand that the LCM of 418,628,748,446,504 is 62694617832.

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

• LCM of 790, 301, 767, 233, 358
• LCM of 152, 442, 472, 176, 829
• LCM of 705, 646, 305, 262, 636
• LCM of 604, 803, 700, 771, 791
• LCM of 729, 717, 803, 463, 207

1. What is the LCM of 418, 628, 748, 446, 504?

Answer: LCM of 418, 628, 748, 446, 504 is 62694617832.

2. How to calculate the LCM of 418, 628, 748, 446, 504?

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 418, 628, 748, 446, 504.

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}.