Given numbers are 324,214,218,763,430

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

The LCM of 324,214,218,763,430 is 5687112060.

Find LCM of 324,214,218,763,430 with Prime Factorization

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

2 x 109 x 162 x 107 x 1 x 7 x 215 = 5687112060

Therefore, the lowest common multiple of 324,214,218,763,430 is 5687112060.

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.

324 x 214 x 218 x 763 x 430 = 4959161716320

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

214 : 1, 2, 107, 214

218 : 1, 2, 109, 218

763 : 1, 7, 109, 763

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 324,214,218,763,430, is 1.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

214:2x 107

218:2x 109

763:7x 109

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 2x 109 = 872

Therefore, the value for common factors is 872.

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 = 4959161716320/(1x872)

LCM = 4959161716320/872

LCM = 5687112060

Thus, we can understand that the LCM of 324,214,218,763,430 is 5687112060.

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

• LCM of 678, 104, 607, 197, 645
• LCM of 882, 528, 913, 823, 542
• LCM of 549, 890, 520, 872, 860
• LCM of 787, 366, 701, 543, 781
• LCM of 327, 884, 333, 150, 552

1. What is the LCM of 324, 214, 218, 763, 430?

Answer: LCM of 324, 214, 218, 763, 430 is 5687112060.

2. How to calculate the LCM of 324, 214, 218, 763, 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 324, 214, 218, 763, 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}.