Given numbers are 507,214,718

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

The LCM of 507,214,718 is 38950782.

Find LCM of 507,214,718 with Prime Factorization

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

2 x 507 x 107 x 359 = 38950782

Therefore, the lowest common multiple of 507,214,718 is 38950782.

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 214 x 718 = 77901564

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

214 : 1, 2, 107, 214

718 : 1, 2, 359, 718

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,214,718, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

214:2x 107

718:2x 359

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 = 77901564/(1x2)

LCM = 77901564/2

LCM = 38950782

Thus, we can understand that the LCM of 507,214,718 is 38950782.

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

• LCM of 706, 456, 423
• LCM of 522, 562, 714
• LCM of 705, 194, 826
• LCM of 286, 625, 781
• LCM of 999, 338, 835

1. What is the LCM of 507, 214, 718?

Answer: LCM of 507, 214, 718 is 38950782.

2. How to calculate the LCM of 507, 214, 718?

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, 214, 718.

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}.