Given numbers are 809,989,989,310,872

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

The LCM of 809,989,989,310,872 is 108141651160.

Find LCM of 809,989,989,310,872 with Prime Factorization

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

2 x 23 x 43 x 809 x 1 x 1 x 155 x 436 = 108141651160

Therefore, the lowest common multiple of 809,989,989,310,872 is 108141651160.

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.

809 x 989 x 989 x 310 x 872 = 213904185994480

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.

809 : 1, 809

989 : 1, 23, 43, 989

989 : 1, 23, 43, 989

310 : 1, 2, 5, 10, 31, 62, 155, 310

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,989,989,310,872, is 1.

Now, the common factors can be found like this.

809:809

989:23x 43

989:23x 43

310:2x 5x 31

872:2x 2x 2x 109

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

2x 23x 43 = 1978

Therefore, the value for common factors is 1978.

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 = 213904185994480/(1x1978)

LCM = 213904185994480/1978

LCM = 108141651160

Thus, we can understand that the LCM of 809,989,989,310,872 is 108141651160.

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

• LCM of 900, 128, 703, 271, 120
• LCM of 578, 458, 307, 821, 305
• LCM of 720, 392, 180, 875, 932
• LCM of 574, 417, 374, 549, 862
• LCM of 719, 313, 609, 832, 767

1. What is the LCM of 809, 989, 989, 310, 872?

Answer: LCM of 809, 989, 989, 310, 872 is 108141651160.

2. How to calculate the LCM of 809, 989, 989, 310, 872?

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 809, 989, 989, 310, 872.

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}.