Given numbers are 257,221,195,353,421

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

The LCM of 257,221,195,353,421 is 126611588415.

Find LCM of 257,221,195,353,421 with Prime Factorization

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

13 x 257 x 17 x 15 x 353 x 421 = 126611588415

Therefore, the lowest common multiple of 257,221,195,353,421 is 126611588415.

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 221 x 195 x 353 x 421 = 1645950649395

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

221 : 1, 13, 17, 221

195 : 1, 3, 5, 13, 15, 39, 65, 195

353 : 1, 353

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,221,195,353,421, is 1.

Now, the common factors can be found like this.

257:257

221:13x 17

195:3x 5x 13

353:353

421:421

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

13 = 13

Therefore, the value for common factors is 13.

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 = 1645950649395/(1x13)

LCM = 1645950649395/13

LCM = 126611588415

Thus, we can understand that the LCM of 257,221,195,353,421 is 126611588415.

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

• LCM of 573, 843, 265, 310, 405
• LCM of 442, 433, 721, 788, 327
• LCM of 801, 275, 192, 604, 428
• LCM of 941, 307, 639, 529, 323
• LCM of 703, 474, 547, 829, 191

1. What is the LCM of 257, 221, 195, 353, 421?

Answer: LCM of 257, 221, 195, 353, 421 is 126611588415.

2. How to calculate the LCM of 257, 221, 195, 353, 421?

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, 221, 195, 353, 421.

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}.