Given numbers are 257,363,201,966,257

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

The LCM of 257,363,201,966,257 is 2012660034.

Find LCM of 257,363,201,966,257 with Prime Factorization

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

3 x 257 x 1 x 121 x 67 x 322 x 1 = 2012660034

Therefore, the lowest common multiple of 257,363,201,966,257 is 2012660034.

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 363 x 201 x 966 x 257 = 4655282658642

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

363 : 1, 3, 11, 33, 121, 363

201 : 1, 3, 67, 201

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,363,201,966,257, is 1.

Now, the common factors can be found like this.

257:257

363:3x 11x 11

201:3x 67

966:2x 3x 7x 23

257:257

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

3x 3x 257 = 2313

Therefore, the value for common factors is 2313.

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 = 4655282658642/(1x2313)

LCM = 4655282658642/2313

LCM = 2012660034

Thus, we can understand that the LCM of 257,363,201,966,257 is 2012660034.

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

• LCM of 371, 101, 900, 708, 966
• LCM of 660, 805, 285, 339, 434
• LCM of 826, 617, 206, 456, 410
• LCM of 792, 237, 728, 895, 917
• LCM of 667, 708, 988, 603, 407

1. What is the LCM of 257, 363, 201, 966, 257?

Answer: LCM of 257, 363, 201, 966, 257 is 2012660034.

2. How to calculate the LCM of 257, 363, 201, 966, 257?

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, 363, 201, 966, 257.

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}.