Given numbers are 814,71,568

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

The LCM of 814,71,568 is 231176.

Find LCM of 814,71,568 with Prime Factorization

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

2 x 71 x 407 x 1 x 4 = 231176

Therefore, the lowest common multiple of 814,71,568 is 231176.

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 71 x 568 = 32826992

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

71 : 1, 71

568 : 1, 2, 4, 8, 71, 142, 284, 568

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,71,568, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

71:71

568:2x 2x 2x 71

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 32826992/(1x142)

LCM = 32826992/142

LCM = 231176

Thus, we can understand that the LCM of 814,71,568 is 231176.

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

• LCM of 225, 74, 320
• LCM of 771, 23, 785
• LCM of 387, 47, 302
• LCM of 787, 47, 605
• LCM of 524, 81, 890

1. What is the LCM of 814, 71, 568?

Answer: LCM of 814, 71, 568 is 231176.

2. How to calculate the LCM of 814, 71, 568?

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, 71, 568.

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}.