Given numbers are 215,260,816,720

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

The LCM of 215,260,816,720 is 6842160.

Find LCM of 215,260,816,720 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 43 x 13 x 17 x 3 = 6842160

Therefore, the lowest common multiple of 215,260,816,720 is 6842160.

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.

215 x 260 x 816 x 720 = 32842368000

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.

215 : 1, 5, 43, 215

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,260,816,720, is 1.

Now, the common factors can be found like this.

215:5x 43

260:2x 2x 5x 13

816:2x 2x 2x 2x 3x 17

720:2x 2x 2x 2x 3x 3x 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 2x 2x 2x 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 32842368000/(1x4800)

LCM = 32842368000/4800

LCM = 6842160

Thus, we can understand that the LCM of 215,260,816,720 is 6842160.

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

• LCM of 292, 511, 897, 441
• LCM of 158, 581, 636, 654
• LCM of 155, 181, 413, 680
• LCM of 620, 500, 931, 405
• LCM of 926, 371, 820, 418

1. What is the LCM of 215, 260, 816, 720?

Answer: LCM of 215, 260, 816, 720 is 6842160.

2. How to calculate the LCM of 215, 260, 816, 720?

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 215, 260, 816, 720.

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}.