Given numbers are 283,381,840,217,189

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

The LCM of 283,381,840,217,189 is 8423132760.

Find LCM of 283,381,840,217,189 with Prime Factorization

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

3 x 7 x 283 x 127 x 40 x 31 x 9 = 8423132760

Therefore, the lowest common multiple of 283,381,840,217,189 is 8423132760.

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 381 x 840 x 217 x 189 = 3714601547160

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

381 : 1, 3, 127, 381

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

217 : 1, 7, 31, 217

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,381,840,217,189, is 1.

Now, the common factors can be found like this.

283:283

381:3x 127

840:2x 2x 2x 3x 5x 7

217:7x 31

189:3x 3x 3x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 7x 7 = 441

Therefore, the value for common factors is 441.

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 = 3714601547160/(1x441)

LCM = 3714601547160/441

LCM = 8423132760

Thus, we can understand that the LCM of 283,381,840,217,189 is 8423132760.

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

• LCM of 628, 252, 537, 898, 294
• LCM of 812, 785, 947, 342, 660
• LCM of 828, 112, 995, 414, 150
• LCM of 575, 131, 626, 156, 485
• LCM of 439, 422, 108, 197, 534

1. What is the LCM of 283, 381, 840, 217, 189?

Answer: LCM of 283, 381, 840, 217, 189 is 8423132760.

2. How to calculate the LCM of 283, 381, 840, 217, 189?

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, 381, 840, 217, 189.

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}.