Given numbers are 687,268,417

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

The LCM of 687,268,417 is 25592124.

Find LCM of 687,268,417 with Prime Factorization

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

3 x 229 x 268 x 139 = 25592124

Therefore, the lowest common multiple of 687,268,417 is 25592124.

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.

687 x 268 x 417 = 76776372

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.

687 : 1, 3, 229, 687

268 : 1, 2, 4, 67, 134, 268

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,268,417, is 1.

Now, the common factors can be found like this.

687:3x 229

268:2x 2x 67

417:3x 139

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 = 76776372/(1x3)

LCM = 76776372/3

LCM = 25592124

Thus, we can understand that the LCM of 687,268,417 is 25592124.

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

• LCM of 368, 544, 838
• LCM of 351, 660, 920
• LCM of 471, 837, 915
• LCM of 287, 326, 786
• LCM of 729, 408, 878

1. What is the LCM of 687, 268, 417?

Answer: LCM of 687, 268, 417 is 25592124.

2. How to calculate the LCM of 687, 268, 417?

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 687, 268, 417.

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}.