Given numbers are 283,920,204,680,116

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

The LCM of 283,920,204,680,116 is 385072440.

Find LCM of 283,920,204,680,116 with Prime Factorization

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

2 x 2 x 2 x 5 x 17 x 283 x 23 x 3 x 1 x 29 = 385072440

Therefore, the lowest common multiple of 283,920,204,680,116 is 385072440.

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.

283 x 920 x 204 x 680 x 116 = 4189588147200

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.

283 : 1, 283

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,920,204,680,116, is 1.

Now, the common factors can be found like this.

283:283

920:2x 2x 2x 5x 23

204:2x 2x 3x 17

680:2x 2x 2x 5x 17

116:2x 2x 29

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 2x 2x 5x 17 = 10880

Therefore, the value for common factors is 10880.

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 = 4189588147200/(1x10880)

LCM = 4189588147200/10880

LCM = 385072440

Thus, we can understand that the LCM of 283,920,204,680,116 is 385072440.

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

• LCM of 625, 324, 119, 970, 138
• LCM of 997, 596, 282, 333, 768
• LCM of 880, 255, 242, 630, 270
• LCM of 824, 793, 270, 770, 100
• LCM of 537, 129, 842, 629, 739

1. What is the LCM of 283, 920, 204, 680, 116?

Answer: LCM of 283, 920, 204, 680, 116 is 385072440.

2. How to calculate the LCM of 283, 920, 204, 680, 116?

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 283, 920, 204, 680, 116.

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}.