Given numbers are 247,261,319

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

The LCM of 247,261,319 is 709137.

Find LCM of 247,261,319 with Prime Factorization

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

29 x 247 x 9 x 11 = 709137

Therefore, the lowest common multiple of 247,261,319 is 709137.

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.

247 x 261 x 319 = 20564973

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.

247 : 1, 13, 19, 247

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

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,261,319, is 1.

Now, the common factors can be found like this.

247:13x 19

261:3x 3x 29

319:11x 29

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

29 = 29

Therefore, the value for common factors is 29.

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 = 20564973/(1x29)

LCM = 20564973/29

LCM = 709137

Thus, we can understand that the LCM of 247,261,319 is 709137.

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

• LCM of 834, 388, 453
• LCM of 768, 439, 343
• LCM of 468, 431, 227
• LCM of 111, 208, 337
• LCM of 162, 249, 632

1. What is the LCM of 247, 261, 319?

Answer: LCM of 247, 261, 319 is 709137.

2. How to calculate the LCM of 247, 261, 319?

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 247, 261, 319.

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}.