Given numbers are 508,412,638

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

The LCM of 508,412,638 is 16691356.

Find LCM of 508,412,638 with Prime Factorization

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

2 x 2 x 127 x 103 x 319 = 16691356

Therefore, the lowest common multiple of 508,412,638 is 16691356.

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.

508 x 412 x 638 = 133530848

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.

508 : 1, 2, 4, 127, 254, 508

412 : 1, 2, 4, 103, 206, 412

638 : 1, 2, 11, 22, 29, 58, 319, 638

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,412,638, is 2.

Now, the common factors can be found like this.

508:2x 2x 127

412:2x 2x 103

638:2x 11x 29

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 133530848/(2x4)

LCM = 133530848/8

LCM = 16691356

Thus, we can understand that the LCM of 508,412,638 is 16691356.

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

• LCM of 501, 770, 419
• LCM of 532, 552, 439
• LCM of 956, 866, 558
• LCM of 160, 179, 433
• LCM of 711, 475, 988

1. What is the LCM of 508, 412, 638?

Answer: LCM of 508, 412, 638 is 16691356.

2. How to calculate the LCM of 508, 412, 638?

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 508, 412, 638.

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}.