Given numbers are 504,412,125,381

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

The LCM of 504,412,125,381 is 824103000.

Find LCM of 504,412,125,381 with Prime Factorization

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

2 x 2 x 3 x 42 x 103 x 125 x 127 = 824103000

Therefore, the lowest common multiple of 504,412,125,381 is 824103000.

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 412 x 125 x 381 = 9889236000

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

412 : 1, 2, 4, 103, 206, 412

125 : 1, 5, 25, 125

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,412,125,381, is 1.

Now, the common factors can be found like this.

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

412:2x 2x 103

125:5x 5x 5

381:3x 127

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 3 = 12

Therefore, the value for common factors is 12.

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 = 9889236000/(1x12)

LCM = 9889236000/12

LCM = 824103000

Thus, we can understand that the LCM of 504,412,125,381 is 824103000.

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

• LCM of 938, 223, 815, 820
• LCM of 144, 139, 105, 667
• LCM of 507, 196, 493, 260
• LCM of 247, 773, 799, 442
• LCM of 503, 936, 292, 197

1. What is the LCM of 504, 412, 125, 381?

Answer: LCM of 504, 412, 125, 381 is 824103000.

2. How to calculate the LCM of 504, 412, 125, 381?

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, 412, 125, 381.

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}.