Given numbers are 504,411,873,285,675

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

The LCM of 504,411,873,285,675 is 9544159800.

Find LCM of 504,411,873,285,675 with Prime Factorization

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

3 x 3 x 5 x 56 x 137 x 97 x 19 x 15 = 9544159800

Therefore, the lowest common multiple of 504,411,873,285,675 is 9544159800.

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.

504 x 411 x 873 x 285 x 675 = 34788462471000

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

411 : 1, 3, 137, 411

873 : 1, 3, 9, 97, 291, 873

285 : 1, 3, 5, 15, 19, 57, 95, 285

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,411,873,285,675, is 3.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

411:3x 137

873:3x 3x 97

285:3x 5x 19

675:3x 3x 3x 5x 5

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 3x 3x 3x 5 = 1215

Therefore, the value for common factors is 1215.

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 = 34788462471000/(3x1215)

LCM = 34788462471000/3645

LCM = 9544159800

Thus, we can understand that the LCM of 504,411,873,285,675 is 9544159800.

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

• LCM of 738, 981, 935, 876, 354
• LCM of 548, 976, 605, 182, 161
• LCM of 686, 562, 865, 230, 268
• LCM of 788, 677, 185, 915, 724
• LCM of 866, 790, 992, 359, 163

1. What is the LCM of 504, 411, 873, 285, 675?

Answer: LCM of 504, 411, 873, 285, 675 is 9544159800.

2. How to calculate the LCM of 504, 411, 873, 285, 675?

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 504, 411, 873, 285, 675.

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}.