Given numbers are 507,724,814

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

The LCM of 507,724,814 is 149396676.

Find LCM of 507,724,814 with Prime Factorization

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

2 x 507 x 362 x 407 = 149396676

Therefore, the lowest common multiple of 507,724,814 is 149396676.

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 724 x 814 = 298793352

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

724 : 1, 2, 4, 181, 362, 724

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,724,814, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

724:2x 2x 181

814:2x 11x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 298793352/(1x2)

LCM = 298793352/2

LCM = 149396676

Thus, we can understand that the LCM of 507,724,814 is 149396676.

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

• LCM of 457, 569, 435
• LCM of 660, 353, 859
• LCM of 275, 422, 681
• LCM of 670, 284, 520
• LCM of 725, 748, 865

1. What is the LCM of 507, 724, 814?

Answer: LCM of 507, 724, 814 is 149396676.

2. How to calculate the LCM of 507, 724, 814?

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, 724, 814.

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}.