Given numbers are 213,468,420,990

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

The LCM of 213,468,420,990 is 12792780.

Find LCM of 213,468,420,990 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 71 x 13 x 7 x 11 = 12792780

Therefore, the lowest common multiple of 213,468,420,990 is 12792780.

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.

213 x 468 x 420 x 990 = 41448607200

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.

213 : 1, 3, 71, 213

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,468,420,990, is 3.

Now, the common factors can be found like this.

213:3x 71

468:2x 2x 3x 3x 13

420:2x 2x 3x 5x 7

990:2x 3x 3x 5x 11

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 5 = 1080

Therefore, the value for common factors is 1080.

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 = 41448607200/(3x1080)

LCM = 41448607200/3240

LCM = 12792780

Thus, we can understand that the LCM of 213,468,420,990 is 12792780.

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

• LCM of 649, 292, 902, 321
• LCM of 485, 237, 575, 924
• LCM of 939, 901, 812, 627
• LCM of 868, 252, 202, 358
• LCM of 699, 585, 715, 239

1. What is the LCM of 213, 468, 420, 990?

Answer: LCM of 213, 468, 420, 990 is 12792780.

2. How to calculate the LCM of 213, 468, 420, 990?

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 213, 468, 420, 990.

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}.