Given numbers are 814,120,878

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

The LCM of 814,120,878 is 21440760.

Find LCM of 814,120,878 with Prime Factorization

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

2 x 407 x 60 x 439 = 21440760

Therefore, the lowest common multiple of 814,120,878 is 21440760.

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.

814 x 120 x 878 = 85763040

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

878 : 1, 2, 439, 878

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,120,878, is 2.

Now, the common factors can be found like this.

814:2x 11x 37

120:2x 2x 2x 3x 5

878:2x 439

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

2 = 2

Therefore, the value for common factors is 2.

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 = 85763040/(2x2)

LCM = 85763040/4

LCM = 21440760

Thus, we can understand that the LCM of 814,120,878 is 21440760.

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

• LCM of 812, 296, 104
• LCM of 609, 348, 331
• LCM of 716, 553, 961
• LCM of 387, 979, 187
• LCM of 468, 288, 277

1. What is the LCM of 814, 120, 878?

Answer: LCM of 814, 120, 878 is 21440760.

2. How to calculate the LCM of 814, 120, 878?

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 814, 120, 878.

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}.