Given numbers are 809,514,225,204

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

The LCM of 809,514,225,204 is 3181068900.

Find LCM of 809,514,225,204 with Prime Factorization

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

2 x 3 x 809 x 257 x 75 x 34 = 3181068900

Therefore, the lowest common multiple of 809,514,225,204 is 3181068900.

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.

809 x 514 x 225 x 204 = 19086413400

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.

809 : 1, 809

514 : 1, 2, 257, 514

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

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 809,514,225,204, is 1.

Now, the common factors can be found like this.

809:809

514:2x 257

225:3x 3x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 19086413400/(1x6)

LCM = 19086413400/6

LCM = 3181068900

Thus, we can understand that the LCM of 809,514,225,204 is 3181068900.

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

• LCM of 314, 420, 359, 571
• LCM of 598, 587, 647, 338
• LCM of 571, 977, 745, 819
• LCM of 604, 748, 828, 833
• LCM of 383, 650, 790, 724

1. What is the LCM of 809, 514, 225, 204?

Answer: LCM of 809, 514, 225, 204 is 3181068900.

2. How to calculate the LCM of 809, 514, 225, 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 809, 514, 225, 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}.