Given numbers are 257,289,342,206

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

The LCM of 257,289,342,206 is 2616340698.

Find LCM of 257,289,342,206 with Prime Factorization

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

2 x 257 x 289 x 171 x 103 = 2616340698

Therefore, the lowest common multiple of 257,289,342,206 is 2616340698.

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.

257 x 289 x 342 x 206 = 5232681396

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.

257 : 1, 257

289 : 1, 17, 289

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,289,342,206, is 1.

Now, the common factors can be found like this.

257:257

289:17x 17

342:2x 3x 3x 19

206:2x 103

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 = 5232681396/(1x2)

LCM = 5232681396/2

LCM = 2616340698

Thus, we can understand that the LCM of 257,289,342,206 is 2616340698.

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

• LCM of 521, 499, 621, 288
• LCM of 526, 786, 906, 681
• LCM of 781, 329, 932, 620
• LCM of 126, 218, 268, 295
• LCM of 938, 658, 941, 303

1. What is the LCM of 257, 289, 342, 206?

Answer: LCM of 257, 289, 342, 206 is 2616340698.

2. How to calculate the LCM of 257, 289, 342, 206?

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 257, 289, 342, 206.

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}.