Given numbers are 807,252,849

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

The LCM of 807,252,849 is 19184004.

Find LCM of 807,252,849 with Prime Factorization

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

3 x 269 x 84 x 283 = 19184004

Therefore, the lowest common multiple of 807,252,849 is 19184004.

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.

807 x 252 x 849 = 172656036

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.

807 : 1, 3, 269, 807

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

849 : 1, 3, 283, 849

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,252,849, is 3.

Now, the common factors can be found like this.

807:3x 269

252:2x 2x 3x 3x 7

849:3x 283

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 172656036/(3x3)

LCM = 172656036/9

LCM = 19184004

Thus, we can understand that the LCM of 807,252,849 is 19184004.

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

• LCM of 342, 135, 585
• LCM of 722, 565, 817
• LCM of 126, 538, 285
• LCM of 430, 846, 191
• LCM of 838, 876, 380

1. What is the LCM of 807, 252, 849?

Answer: LCM of 807, 252, 849 is 19184004.

2. How to calculate the LCM of 807, 252, 849?

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 807, 252, 849.

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}.