Given numbers are 687,261,217

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

The LCM of 687,261,217 is 12969873.

Find LCM of 687,261,217 with Prime Factorization

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

3 x 229 x 87 x 217 = 12969873

Therefore, the lowest common multiple of 687,261,217 is 12969873.

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 261 x 217 = 38909619

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

261 : 1, 3, 9, 29, 87, 261

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,261,217, is 1.

Now, the common factors can be found like this.

687:3x 229

261:3x 3x 29

217:7x 31

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 = 38909619/(1x3)

LCM = 38909619/3

LCM = 12969873

Thus, we can understand that the LCM of 687,261,217 is 12969873.

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

• LCM of 128, 516, 209
• LCM of 548, 815, 210
• LCM of 706, 149, 747
• LCM of 565, 310, 797
• LCM of 509, 356, 667

1. What is the LCM of 687, 261, 217?

Answer: LCM of 687, 261, 217 is 12969873.

2. How to calculate the LCM of 687, 261, 217?

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, 261, 217.

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}.