Given numbers are 568,107,284,461

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

The LCM of 568,107,284,461 is 28017736.

Find LCM of 568,107,284,461 with Prime Factorization

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

2 x 2 x 71 x 1 x 107 x 2 x 461 = 28017736

Therefore, the lowest common multiple of 568,107,284,461 is 28017736.

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.

568 x 107 x 284 x 461 = 7957037024

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.

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

107 : 1, 107

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

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,107,284,461, is 1.

Now, the common factors can be found like this.

568:2x 2x 2x 71

107:107

284:2x 2x 71

461:461

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 71 = 284

Therefore, the value for common factors is 284.

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 = 7957037024/(1x284)

LCM = 7957037024/284

LCM = 28017736

Thus, we can understand that the LCM of 568,107,284,461 is 28017736.

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

• LCM of 250, 872, 186, 654
• LCM of 429, 419, 183, 197
• LCM of 692, 868, 422, 695
• LCM of 229, 358, 364, 672
• LCM of 909, 576, 721, 795

1. What is the LCM of 568, 107, 284, 461?

Answer: LCM of 568, 107, 284, 461 is 28017736.

2. How to calculate the LCM of 568, 107, 284, 461?

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 568, 107, 284, 461.

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}.