Given numbers are 391,424,408,944,225

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

The LCM of 391,424,408,944,225 is 4401565200.

Find LCM of 391,424,408,944,225 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 23 x 53 x 1 x 118 x 75 = 4401565200

Therefore, the lowest common multiple of 391,424,408,944,225 is 4401565200.

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.

391 x 424 x 408 x 944 x 225 = 14366708812800

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.

391 : 1, 17, 23, 391

424 : 1, 2, 4, 8, 53, 106, 212, 424

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

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,424,408,944,225, is 1.

Now, the common factors can be found like this.

391:17x 23

424:2x 2x 2x 53

408:2x 2x 2x 3x 17

944:2x 2x 2x 2x 59

225:3x 3x 5x 5

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 3x 17 = 3264

Therefore, the value for common factors is 3264.

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 = 14366708812800/(1x3264)

LCM = 14366708812800/3264

LCM = 4401565200

Thus, we can understand that the LCM of 391,424,408,944,225 is 4401565200.

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

• LCM of 218, 277, 687, 766, 730
• LCM of 342, 478, 448, 327, 856
• LCM of 657, 883, 650, 638, 144
• LCM of 281, 630, 666, 504, 817
• LCM of 123, 670, 751, 836, 895

1. What is the LCM of 391, 424, 408, 944, 225?

Answer: LCM of 391, 424, 408, 944, 225 is 4401565200.

2. How to calculate the LCM of 391, 424, 408, 944, 225?

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 391, 424, 408, 944, 225.

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}.