Given numbers are 170,268,194,261

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

The LCM of 170,268,194,261 is 576721260.

Find LCM of 170,268,194,261 with Prime Factorization

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

2 x 85 x 134 x 97 x 261 = 576721260

Therefore, the lowest common multiple of 170,268,194,261 is 576721260.

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.

170 x 268 x 194 x 261 = 2306885040

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.

170 : 1, 2, 5, 10, 17, 34, 85, 170

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

194 : 1, 2, 97, 194

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,268,194,261, is 1.

Now, the common factors can be found like this.

170:2x 5x 17

268:2x 2x 67

194:2x 97

261:3x 3x 29

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2306885040/(1x4)

LCM = 2306885040/4

LCM = 576721260

Thus, we can understand that the LCM of 170,268,194,261 is 576721260.

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

• LCM of 141, 191, 509, 798
• LCM of 605, 536, 641, 104
• LCM of 766, 298, 873, 641
• LCM of 740, 976, 312, 701
• LCM of 455, 864, 439, 633

1. What is the LCM of 170, 268, 194, 261?

Answer: LCM of 170, 268, 194, 261 is 576721260.

2. How to calculate the LCM of 170, 268, 194, 261?

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 170, 268, 194, 261.

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}.