Given numbers are 187,204,321,289

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

The LCM of 187,204,321,289 is 4081836.

Find LCM of 187,204,321,289 with Prime Factorization

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

3 x 17 x 11 x 4 x 107 x 17 = 4081836

Therefore, the lowest common multiple of 187,204,321,289 is 4081836.

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.

187 x 204 x 321 x 289 = 3538951812

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.

187 : 1, 11, 17, 187

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

321 : 1, 3, 107, 321

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,204,321,289, is 1.

Now, the common factors can be found like this.

187:11x 17

204:2x 2x 3x 17

321:3x 107

289:17x 17

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

3x 17x 17 = 867

Therefore, the value for common factors is 867.

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 = 3538951812/(1x867)

LCM = 3538951812/867

LCM = 4081836

Thus, we can understand that the LCM of 187,204,321,289 is 4081836.

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

• LCM of 611, 255, 305, 497
• LCM of 620, 726, 570, 944
• LCM of 800, 533, 697, 331
• LCM of 140, 755, 800, 637
• LCM of 693, 713, 601, 758

1. What is the LCM of 187, 204, 321, 289?

Answer: LCM of 187, 204, 321, 289 is 4081836.

2. How to calculate the LCM of 187, 204, 321, 289?

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 187, 204, 321, 289.

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}.