Given numbers are 509,470,228,729

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

The LCM of 509,470,228,729 is 6627149460.

Find LCM of 509,470,228,729 with Prime Factorization

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

2 x 3 x 509 x 235 x 38 x 243 = 6627149460

Therefore, the lowest common multiple of 509,470,228,729 is 6627149460.

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.

509 x 470 x 228 x 729 = 39762896760

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.

509 : 1, 509

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

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,470,228,729, is 1.

Now, the common factors can be found like this.

509:509

470:2x 5x 47

228:2x 2x 3x 19

729:3x 3x 3x 3x 3x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 39762896760/(1x6)

LCM = 39762896760/6

LCM = 6627149460

Thus, we can understand that the LCM of 509,470,228,729 is 6627149460.

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

• LCM of 734, 418, 206, 200
• LCM of 317, 144, 930, 710
• LCM of 598, 580, 909, 242
• LCM of 982, 594, 557, 458
• LCM of 140, 382, 631, 887

1. What is the LCM of 509, 470, 228, 729?

Answer: LCM of 509, 470, 228, 729 is 6627149460.

2. How to calculate the LCM of 509, 470, 228, 729?

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 509, 470, 228, 729.

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}.