Given numbers are 507,415,171,627

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

The LCM of 507,415,171,627 is 131923935.

Find LCM of 507,415,171,627 with Prime Factorization

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

3 x 19 x 169 x 415 x 3 x 11 = 131923935

Therefore, the lowest common multiple of 507,415,171,627 is 131923935.

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 415 x 171 x 627 = 22558992885

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

415 : 1, 5, 83, 415

171 : 1, 3, 9, 19, 57, 171

627 : 1, 3, 11, 19, 33, 57, 209, 627

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,415,171,627, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

415:5x 83

171:3x 3x 19

627:3x 11x 19

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

3x 3x 19 = 171

Therefore, the value for common factors is 171.

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 = 22558992885/(1x171)

LCM = 22558992885/171

LCM = 131923935

Thus, we can understand that the LCM of 507,415,171,627 is 131923935.

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

• LCM of 584, 979, 518, 303
• LCM of 825, 623, 803, 101
• LCM of 698, 870, 615, 668
• LCM of 547, 435, 906, 229
• LCM of 163, 374, 651, 298

1. What is the LCM of 507, 415, 171, 627?

Answer: LCM of 507, 415, 171, 627 is 131923935.

2. How to calculate the LCM of 507, 415, 171, 627?

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, 415, 171, 627.

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}.