Given numbers are 872,900,338,979

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

The LCM of 872,900,338,979 is 32461486200.

Find LCM of 872,900,338,979 with Prime Factorization

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

2 x 2 x 218 x 225 x 169 x 979 = 32461486200

Therefore, the lowest common multiple of 872,900,338,979 is 32461486200.

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.

872 x 900 x 338 x 979 = 259691889600

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.

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

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

338 : 1, 2, 13, 26, 169, 338

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,900,338,979, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

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

338:2x 13x 13

979:11x 89

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 2 = 8

Therefore, the value for common factors is 8.

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 = 259691889600/(1x8)

LCM = 259691889600/8

LCM = 32461486200

Thus, we can understand that the LCM of 872,900,338,979 is 32461486200.

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

• LCM of 196, 784, 398, 924
• LCM of 733, 468, 660, 531
• LCM of 798, 370, 954, 545
• LCM of 797, 512, 911, 686
• LCM of 718, 136, 796, 839

1. What is the LCM of 872, 900, 338, 979?

Answer: LCM of 872, 900, 338, 979 is 32461486200.

2. How to calculate the LCM of 872, 900, 338, 979?

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 872, 900, 338, 979.

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}.