Given numbers are 442,531,951,375,204

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

The LCM of 442,531,951,375,204 is 18600133500.

Find LCM of 442,531,951,375,204 with Prime Factorization

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

2 x 3 x 17 x 13 x 177 x 317 x 125 x 2 = 18600133500

Therefore, the lowest common multiple of 442,531,951,375,204 is 18600133500.

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.

442 x 531 x 951 x 375 x 204 = 17074922553000

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

531 : 1, 3, 9, 59, 177, 531

951 : 1, 3, 317, 951

375 : 1, 3, 5, 15, 25, 75, 125, 375

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,531,951,375,204, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

531:3x 3x 59

951:3x 317

375:3x 5x 5x 5

204:2x 2x 3x 17

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

2x 3x 3x 3x 17 = 918

Therefore, the value for common factors is 918.

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 = 17074922553000/(1x918)

LCM = 17074922553000/918

LCM = 18600133500

Thus, we can understand that the LCM of 442,531,951,375,204 is 18600133500.

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

• LCM of 537, 483, 790, 773, 772
• LCM of 976, 196, 431, 527, 339
• LCM of 348, 922, 792, 342, 443
• LCM of 600, 761, 691, 533, 425
• LCM of 916, 443, 674, 713, 905

1. What is the LCM of 442, 531, 951, 375, 204?

Answer: LCM of 442, 531, 951, 375, 204 is 18600133500.

2. How to calculate the LCM of 442, 531, 951, 375, 204?

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 442, 531, 951, 375, 204.

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}.