Given numbers are 116,230,900,209,284

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

The LCM of 116,230,900,209,284 is 8907851700.

Find LCM of 116,230,900,209,284 with Prime Factorization

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

2 x 2 x 5 x 29 x 23 x 45 x 209 x 71 = 8907851700

Therefore, the lowest common multiple of 116,230,900,209,284 is 8907851700.

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.

116 x 230 x 900 x 209 x 284 = 1425256272000

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.

116 : 1, 2, 4, 29, 58, 116

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

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

209 : 1, 11, 19, 209

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,230,900,209,284, is 1.

Now, the common factors can be found like this.

116:2x 2x 29

230:2x 5x 23

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

209:11x 19

284:2x 2x 71

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 5 = 160

Therefore, the value for common factors is 160.

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 = 1425256272000/(1x160)

LCM = 1425256272000/160

LCM = 8907851700

Thus, we can understand that the LCM of 116,230,900,209,284 is 8907851700.

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

• LCM of 184, 764, 687, 536, 105
• LCM of 652, 816, 621, 820, 126
• LCM of 933, 645, 827, 869, 507
• LCM of 954, 848, 194, 902, 323
• LCM of 635, 260, 663, 119, 491

1. What is the LCM of 116, 230, 900, 209, 284?

Answer: LCM of 116, 230, 900, 209, 284 is 8907851700.

2. How to calculate the LCM of 116, 230, 900, 209, 284?

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 116, 230, 900, 209, 284.

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}.