Given numbers are 630,408,331,573,430

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

The LCM of 630,408,331,573,430 is 116460668520.

Find LCM of 630,408,331,573,430 with Prime Factorization

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

2 x 3 x 5 x 21 x 68 x 331 x 191 x 43 = 116460668520

Therefore, the lowest common multiple of 630,408,331,573,430 is 116460668520.

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.

630 x 408 x 331 x 573 x 430 = 20962920333600

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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

331 : 1, 331

573 : 1, 3, 191, 573

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,408,331,573,430, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

408:2x 2x 2x 3x 17

331:331

573:3x 191

430:2x 5x 43

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 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 20962920333600/(1x180)

LCM = 20962920333600/180

LCM = 116460668520

Thus, we can understand that the LCM of 630,408,331,573,430 is 116460668520.

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

• LCM of 399, 804, 751, 878, 724
• LCM of 610, 597, 542, 108, 279
• LCM of 723, 816, 351, 369, 811
• LCM of 828, 497, 210, 647, 793
• LCM of 598, 140, 814, 923, 347

1. What is the LCM of 630, 408, 331, 573, 430?

Answer: LCM of 630, 408, 331, 573, 430 is 116460668520.

2. How to calculate the LCM of 630, 408, 331, 573, 430?

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 630, 408, 331, 573, 430.

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}.