Given numbers are 518,900,252,701,208

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

The LCM of 518,900,252,701,208 is 8496961200.

Find LCM of 518,900,252,701,208 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 37 x 25 x 1 x 701 x 52 = 8496961200

Therefore, the lowest common multiple of 518,900,252,701,208 is 8496961200.

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.

518 x 900 x 252 x 701 x 208 = 17129873779200

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

701 : 1, 701

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,900,252,701,208, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

900:2x 2x 3x 3x 5x 5

252:2x 2x 3x 3x 7

701:701

208:2x 2x 2x 2x 13

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

2x 2x 2x 2x 2x 3x 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 17129873779200/(1x2016)

LCM = 17129873779200/2016

LCM = 8496961200

Thus, we can understand that the LCM of 518,900,252,701,208 is 8496961200.

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

• LCM of 608, 428, 996, 100, 566
• LCM of 554, 389, 320, 677, 756
• LCM of 783, 376, 327, 729, 359
• LCM of 939, 309, 172, 327, 356
• LCM of 710, 209, 596, 248, 802

1. What is the LCM of 518, 900, 252, 701, 208?

Answer: LCM of 518, 900, 252, 701, 208 is 8496961200.

2. How to calculate the LCM of 518, 900, 252, 701, 208?

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 518, 900, 252, 701, 208.

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}.