Given numbers are 321,257,342,366

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

The LCM of 321,257,342,366 is 573684138.

Find LCM of 321,257,342,366 with Prime Factorization

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

2 x 3 x 107 x 257 x 57 x 61 = 573684138

Therefore, the lowest common multiple of 321,257,342,366 is 573684138.

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.

321 x 257 x 342 x 366 = 10326314484

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.

321 : 1, 3, 107, 321

257 : 1, 257

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

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,257,342,366, is 1.

Now, the common factors can be found like this.

321:3x 107

257:257

342:2x 3x 3x 19

366:2x 3x 61

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 10326314484/(1x18)

LCM = 10326314484/18

LCM = 573684138

Thus, we can understand that the LCM of 321,257,342,366 is 573684138.

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

• LCM of 334, 759, 743, 784
• LCM of 624, 899, 258, 436
• LCM of 958, 359, 267, 951
• LCM of 360, 946, 859, 871
• LCM of 526, 165, 828, 995

1. What is the LCM of 321, 257, 342, 366?

Answer: LCM of 321, 257, 342, 366 is 573684138.

2. How to calculate the LCM of 321, 257, 342, 366?

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 321, 257, 342, 366.

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}.