Given numbers are 214,522,342,702,900

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

The LCM of 214,522,342,702,900 is 2069390700.

Find LCM of 214,522,342,702,900 with Prime Factorization

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

2 x 3 x 3 x 107 x 29 x 19 x 39 x 50 = 2069390700

Therefore, the lowest common multiple of 214,522,342,702,900 is 2069390700.

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.

214 x 522 x 342 x 702 x 900 = 24137373124800

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.

214 : 1, 2, 107, 214

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,522,342,702,900, is 2.

Now, the common factors can be found like this.

214:2x 107

522:2x 3x 3x 29

342:2x 3x 3x 19

702:2x 3x 3x 3x 13

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

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 3x 3x 3x 3x 3x 3 = 5832

Therefore, the value for common factors is 5832.

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 = 24137373124800/(2x5832)

LCM = 24137373124800/11664

LCM = 2069390700

Thus, we can understand that the LCM of 214,522,342,702,900 is 2069390700.

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

• LCM of 742, 498, 616, 765, 172
• LCM of 197, 256, 833, 372, 347
• LCM of 990, 278, 847, 374, 780
• LCM of 645, 638, 359, 431, 169
• LCM of 589, 596, 925, 367, 151

1. What is the LCM of 214, 522, 342, 702, 900?

Answer: LCM of 214, 522, 342, 702, 900 is 2069390700.

2. How to calculate the LCM of 214, 522, 342, 702, 900?

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 214, 522, 342, 702, 900.

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}.