Given numbers are 255,409,268,409

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

The LCM of 255,409,268,409 is 27951060.

Find LCM of 255,409,268,409 with Prime Factorization

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

409 x 255 x 1 x 268 x 1 = 27951060

Therefore, the lowest common multiple of 255,409,268,409 is 27951060.

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.

255 x 409 x 268 x 409 = 11431983540

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.

255 : 1, 3, 5, 15, 17, 51, 85, 255

409 : 1, 409

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

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,409,268,409, is 1.

Now, the common factors can be found like this.

255:3x 5x 17

409:409

268:2x 2x 67

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.

409 = 409

Therefore, the value for common factors is 409.

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 = 11431983540/(1x409)

LCM = 11431983540/409

LCM = 27951060

Thus, we can understand that the LCM of 255,409,268,409 is 27951060.

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

• LCM of 421, 696, 169, 967
• LCM of 740, 525, 123, 910
• LCM of 891, 590, 183, 537
• LCM of 889, 593, 187, 729
• LCM of 271, 609, 169, 462

1. What is the LCM of 255, 409, 268, 409?

Answer: LCM of 255, 409, 268, 409 is 27951060.

2. How to calculate the LCM of 255, 409, 268, 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 255, 409, 268, 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}.