Given numbers are 504,404,687,252

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

The LCM of 504,404,687,252 is 11657016.

Find LCM of 504,404,687,252 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 1 x 101 x 229 x 2 = 11657016

Therefore, the lowest common multiple of 504,404,687,252 is 11657016.

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 404 x 687 x 252 = 35250816384

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

404 : 1, 2, 4, 101, 202, 404

687 : 1, 3, 229, 687

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,404,687,252, is 1.

Now, the common factors can be found like this.

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

404:2x 2x 101

687:3x 229

252:2x 2x 3x 3x 7

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 7 = 3024

Therefore, the value for common factors is 3024.

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 = 35250816384/(1x3024)

LCM = 35250816384/3024

LCM = 11657016

Thus, we can understand that the LCM of 504,404,687,252 is 11657016.

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

• LCM of 287, 977, 124, 462
• LCM of 728, 237, 571, 930
• LCM of 195, 978, 488, 225
• LCM of 542, 264, 513, 956
• LCM of 163, 230, 992, 897

1. What is the LCM of 504, 404, 687, 252?

Answer: LCM of 504, 404, 687, 252 is 11657016.

2. How to calculate the LCM of 504, 404, 687, 252?

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, 404, 687, 252.

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}.