Given numbers are 831,642,306,984,900

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

The LCM of 831,642,306,984,900 is 37185089400.

Find LCM of 831,642,306,984,900 with Prime Factorization

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

2 x 2 x 3 x 3 x 277 x 107 x 17 x 82 x 25 = 37185089400

Therefore, the lowest common multiple of 831,642,306,984,900 is 37185089400.

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.

831 x 642 x 306 x 984 x 900 = 144575627587200

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.

831 : 1, 3, 277, 831

642 : 1, 2, 3, 6, 107, 214, 321, 642

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,642,306,984,900, is 3.

Now, the common factors can be found like this.

831:3x 277

642:2x 3x 107

306:2x 3x 3x 17

984:2x 2x 2x 3x 41

900:2x 2x 3x 3x 5x 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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 144575627587200/(3x1296)

LCM = 144575627587200/3888

LCM = 37185089400

Thus, we can understand that the LCM of 831,642,306,984,900 is 37185089400.

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

• LCM of 764, 531, 383, 759, 142
• LCM of 701, 565, 427, 225, 929
• LCM of 546, 473, 628, 682, 519
• LCM of 535, 607, 970, 811, 649
• LCM of 455, 983, 763, 745, 237

1. What is the LCM of 831, 642, 306, 984, 900?

Answer: LCM of 831, 642, 306, 984, 900 is 37185089400.

2. How to calculate the LCM of 831, 642, 306, 984, 900?

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 831, 642, 306, 984, 900.

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}.