Given numbers are 204,712,340,117,521

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

The LCM of 204,712,340,117,521 is 3689117640.

Find LCM of 204,712,340,117,521 with Prime Factorization

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

2 x 2 x 3 x 17 x 1 x 178 x 5 x 39 x 521 = 3689117640

Therefore, the lowest common multiple of 204,712,340,117,521 is 3689117640.

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.

204 x 712 x 340 x 117 x 521 = 3010319994240

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.

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

712 : 1, 2, 4, 8, 89, 178, 356, 712

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

117 : 1, 3, 9, 13, 39, 117

521 : 1, 521

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,712,340,117,521, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

712:2x 2x 2x 89

340:2x 2x 5x 17

117:3x 3x 13

521:521

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 17 = 816

Therefore, the value for common factors is 816.

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 = 3010319994240/(1x816)

LCM = 3010319994240/816

LCM = 3689117640

Thus, we can understand that the LCM of 204,712,340,117,521 is 3689117640.

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

• LCM of 591, 165, 351, 366, 293
• LCM of 591, 515, 523, 950, 371
• LCM of 237, 600, 945, 899, 667
• LCM of 385, 114, 435, 404, 983
• LCM of 302, 309, 897, 808, 162

1. What is the LCM of 204, 712, 340, 117, 521?

Answer: LCM of 204, 712, 340, 117, 521 is 3689117640.

2. How to calculate the LCM of 204, 712, 340, 117, 521?

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 204, 712, 340, 117, 521.

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}.