Given numbers are 255,272,289,309

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

The LCM of 255,272,289,309 is 7144080.

Find LCM of 255,272,289,309 with Prime Factorization

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

3 x 17 x 5 x 16 x 17 x 103 = 7144080

Therefore, the lowest common multiple of 255,272,289,309 is 7144080.

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 272 x 289 x 309 = 6193917360

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

289 : 1, 17, 289

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,272,289,309, is 1.

Now, the common factors can be found like this.

255:3x 5x 17

272:2x 2x 2x 2x 17

289:17x 17

309:3x 103

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

3x 17x 17 = 867

Therefore, the value for common factors is 867.

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 = 6193917360/(1x867)

LCM = 6193917360/867

LCM = 7144080

Thus, we can understand that the LCM of 255,272,289,309 is 7144080.

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

• LCM of 105, 896, 493, 109
• LCM of 675, 332, 498, 208
• LCM of 509, 153, 191, 968
• LCM of 914, 561, 680, 661
• LCM of 427, 901, 870, 322

1. What is the LCM of 255, 272, 289, 309?

Answer: LCM of 255, 272, 289, 309 is 7144080.

2. How to calculate the LCM of 255, 272, 289, 309?

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, 272, 289, 309.

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}.