Given numbers are 257,313,271,164,404

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

The LCM of 257,313,271,164,404 is 361087100204.

Find LCM of 257,313,271,164,404 with Prime Factorization

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

2 x 2 x 257 x 313 x 271 x 41 x 101 = 361087100204

Therefore, the lowest common multiple of 257,313,271,164,404 is 361087100204.

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 313 x 271 x 164 x 404 = 1444348400816

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

313 : 1, 313

271 : 1, 271

164 : 1, 2, 4, 41, 82, 164

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,313,271,164,404, is 1.

Now, the common factors can be found like this.

257:257

313:313

271:271

164:2x 2x 41

404:2x 2x 101

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1444348400816/(1x4)

LCM = 1444348400816/4

LCM = 361087100204

Thus, we can understand that the LCM of 257,313,271,164,404 is 361087100204.

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

• LCM of 109, 306, 454, 155, 566
• LCM of 532, 918, 913, 259, 126
• LCM of 903, 438, 735, 136, 756
• LCM of 899, 968, 861, 648, 782
• LCM of 428, 141, 918, 921, 311

1. What is the LCM of 257, 313, 271, 164, 404?

Answer: LCM of 257, 313, 271, 164, 404 is 361087100204.

2. How to calculate the LCM of 257, 313, 271, 164, 404?

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, 313, 271, 164, 404.

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}.