Given numbers are 507,730,731,221

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

The LCM of 507,730,731,221 is 270550410.

Find LCM of 507,730,731,221 with Prime Factorization

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

13 x 17 x 39 x 730 x 43 x 1 = 270550410

Therefore, the lowest common multiple of 507,730,731,221 is 270550410.

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.

507 x 730 x 731 x 221 = 59791640610

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.

507 : 1, 3, 13, 39, 169, 507

730 : 1, 2, 5, 10, 73, 146, 365, 730

731 : 1, 17, 43, 731

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,730,731,221, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

730:2x 5x 73

731:17x 43

221:13x 17

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

13x 17 = 221

Therefore, the value for common factors is 221.

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 = 59791640610/(1x221)

LCM = 59791640610/221

LCM = 270550410

Thus, we can understand that the LCM of 507,730,731,221 is 270550410.

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

• LCM of 694, 794, 760, 891
• LCM of 343, 296, 943, 650
• LCM of 371, 982, 392, 339
• LCM of 984, 362, 836, 923
• LCM of 302, 709, 343, 206

1. What is the LCM of 507, 730, 731, 221?

Answer: LCM of 507, 730, 731, 221 is 270550410.

2. How to calculate the LCM of 507, 730, 731, 221?

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 507, 730, 731, 221.

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}.