Given numbers are 900,331,230,826

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

The LCM of 900,331,230,826 is 2829752100.

Find LCM of 900,331,230,826 with Prime Factorization

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

2 x 5 x 90 x 331 x 23 x 413 = 2829752100

Therefore, the lowest common multiple of 900,331,230,826 is 2829752100.

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.

900 x 331 x 230 x 826 = 56595042000

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.

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

331 : 1, 331

230 : 1, 2, 5, 10, 23, 46, 115, 230

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,331,230,826, is 1.

Now, the common factors can be found like this.

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

331:331

230:2x 5x 23

826:2x 7x 59

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 5 = 20

Therefore, the value for common factors is 20.

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 = 56595042000/(1x20)

LCM = 56595042000/20

LCM = 2829752100

Thus, we can understand that the LCM of 900,331,230,826 is 2829752100.

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

• LCM of 380, 309, 176, 107
• LCM of 666, 201, 299, 885
• LCM of 594, 501, 685, 340
• LCM of 242, 738, 696, 687
• LCM of 574, 897, 844, 683

1. What is the LCM of 900, 331, 230, 826?

Answer: LCM of 900, 331, 230, 826 is 2829752100.

2. How to calculate the LCM of 900, 331, 230, 826?

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 900, 331, 230, 826.

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}.