Given numbers are 508,682,210

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

The LCM of 508,682,210 is 18188940.

Find LCM of 508,682,210 with Prime Factorization

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

2 x 254 x 341 x 105 = 18188940

Therefore, the lowest common multiple of 508,682,210 is 18188940.

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 682 x 210 = 72755760

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

682 : 1, 2, 11, 22, 31, 62, 341, 682

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,682,210, is 2.

Now, the common factors can be found like this.

508:2x 2x 127

682:2x 11x 31

210:2x 3x 5x 7

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 = 72755760/(2x2)

LCM = 72755760/4

LCM = 18188940

Thus, we can understand that the LCM of 508,682,210 is 18188940.

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

• LCM of 305, 829, 436
• LCM of 197, 638, 227
• LCM of 757, 847, 597
• LCM of 301, 911, 363
• LCM of 659, 282, 622

1. What is the LCM of 508, 682, 210?

Answer: LCM of 508, 682, 210 is 18188940.

2. How to calculate the LCM of 508, 682, 210?

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, 682, 210.

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}.