Given numbers are 261,687,361

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

The LCM of 261,687,361 is 21576609.

Find LCM of 261,687,361 with Prime Factorization

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

3 x 87 x 229 x 361 = 21576609

Therefore, the lowest common multiple of 261,687,361 is 21576609.

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.

261 x 687 x 361 = 64729827

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.

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

687 : 1, 3, 229, 687

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,687,361, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

687:3x 229

361:19x 19

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 = 64729827/(1x3)

LCM = 64729827/3

LCM = 21576609

Thus, we can understand that the LCM of 261,687,361 is 21576609.

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

• LCM of 550, 537, 650
• LCM of 123, 896, 169
• LCM of 389, 624, 629
• LCM of 808, 159, 633
• LCM of 951, 376, 853

1. What is the LCM of 261, 687, 361?

Answer: LCM of 261, 687, 361 is 21576609.

2. How to calculate the LCM of 261, 687, 361?

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 261, 687, 361.

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}.