Given numbers are 107,270,428,408,198

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

The LCM of 107,270,428,408,198 is 21609720.

Find LCM of 107,270,428,408,198 with Prime Factorization

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

2 x 2 x 3 x 3 x 107 x 1 x 15 x 1 x 34 x 11 = 21609720

Therefore, the lowest common multiple of 107,270,428,408,198 is 21609720.

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.

107 x 270 x 428 x 408 x 198 = 998887697280

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.

107 : 1, 107

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

428 : 1, 2, 4, 107, 214, 428

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,270,428,408,198, is 1.

Now, the common factors can be found like this.

107:107

270:2x 3x 3x 3x 5

428:2x 2x 107

408:2x 2x 2x 3x 17

198:2x 3x 3x 11

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 3x 3x 107 = 46224

Therefore, the value for common factors is 46224.

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 = 998887697280/(1x46224)

LCM = 998887697280/46224

LCM = 21609720

Thus, we can understand that the LCM of 107,270,428,408,198 is 21609720.

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

• LCM of 752, 863, 503, 549, 103
• LCM of 701, 523, 496, 128, 577
• LCM of 429, 407, 645, 480, 290
• LCM of 327, 523, 674, 308, 776
• LCM of 864, 433, 783, 575, 925

1. What is the LCM of 107, 270, 428, 408, 198?

Answer: LCM of 107, 270, 428, 408, 198 is 21609720.

2. How to calculate the LCM of 107, 270, 428, 408, 198?

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 107, 270, 428, 408, 198.

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}.