Given numbers are 268,261,386,409

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

The LCM of 268,261,386,409 is 5521485276.

Find LCM of 268,261,386,409 with Prime Factorization

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

2 x 134 x 261 x 193 x 409 = 5521485276

Therefore, the lowest common multiple of 268,261,386,409 is 5521485276.

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.

268 x 261 x 386 x 409 = 11042970552

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.

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

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

386 : 1, 2, 193, 386

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,261,386,409, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

261:3x 3x 29

386:2x 193

409:409

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

2 = 2

Therefore, the value for common factors is 2.

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 = 11042970552/(1x2)

LCM = 11042970552/2

LCM = 5521485276

Thus, we can understand that the LCM of 268,261,386,409 is 5521485276.

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

• LCM of 200, 590, 783, 384
• LCM of 261, 456, 229, 690
• LCM of 178, 765, 400, 177
• LCM of 320, 420, 714, 936
• LCM of 815, 831, 829, 327

1. What is the LCM of 268, 261, 386, 409?

Answer: LCM of 268, 261, 386, 409 is 5521485276.

2. How to calculate the LCM of 268, 261, 386, 409?

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 268, 261, 386, 409.

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}.