Given numbers are 504,514,460,808

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

The LCM of 504,514,460,808 is 1504467720.

Find LCM of 504,514,460,808 with Prime Factorization

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

2 x 2 x 2 x 63 x 257 x 115 x 101 = 1504467720

Therefore, the lowest common multiple of 504,514,460,808 is 1504467720.

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 514 x 460 x 808 = 96285934080

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

514 : 1, 2, 257, 514

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

808 : 1, 2, 4, 8, 101, 202, 404, 808

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,514,460,808, is 2.

Now, the common factors can be found like this.

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

514:2x 257

460:2x 2x 5x 23

808:2x 2x 2x 101

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 2 = 32

Therefore, the value for common factors is 32.

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 = 96285934080/(2x32)

LCM = 96285934080/64

LCM = 1504467720

Thus, we can understand that the LCM of 504,514,460,808 is 1504467720.

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

• LCM of 838, 442, 210, 381
• LCM of 184, 316, 769, 505
• LCM of 343, 485, 619, 559
• LCM of 823, 157, 179, 914
• LCM of 897, 475, 712, 857

1. What is the LCM of 504, 514, 460, 808?

Answer: LCM of 504, 514, 460, 808 is 1504467720.

2. How to calculate the LCM of 504, 514, 460, 808?

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, 514, 460, 808.

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}.