Given numbers are 104,470,336,986,408

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

The LCM of 104,470,336,986,408 is 506054640.

Find LCM of 104,470,336,986,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 13 x 235 x 14 x 29 x 1 = 506054640

Therefore, the lowest common multiple of 104,470,336,986,408 is 506054640.

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.

104 x 470 x 336 x 986 x 408 = 6607049379840

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

470 : 1, 2, 5, 10, 47, 94, 235, 470

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

986 : 1, 2, 17, 29, 34, 58, 493, 986

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,470,336,986,408, is 2.

Now, the common factors can be found like this.

104:2x 2x 2x 13

470:2x 5x 47

336:2x 2x 2x 2x 3x 7

986:2x 17x 29

408:2x 2x 2x 3x 17

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 2x 2x 3x 17 = 6528

Therefore, the value for common factors is 6528.

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 = 6607049379840/(2x6528)

LCM = 6607049379840/13056

LCM = 506054640

Thus, we can understand that the LCM of 104,470,336,986,408 is 506054640.

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

• LCM of 618, 822, 644, 633, 371
• LCM of 290, 190, 717, 150, 170
• LCM of 632, 933, 159, 942, 152
• LCM of 445, 558, 617, 373, 605
• LCM of 781, 129, 201, 636, 429

1. What is the LCM of 104, 470, 336, 986, 408?

Answer: LCM of 104, 470, 336, 986, 408 is 506054640.

2. How to calculate the LCM of 104, 470, 336, 986, 408?

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 104, 470, 336, 986, 408.

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}.