Given numbers are 258,420,399,259,257

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

The LCM of 258,420,399,259,257 is 3262918260.

Find LCM of 258,420,399,259,257 with Prime Factorization

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

2 x 3 x 7 x 43 x 10 x 19 x 37 x 257 = 3262918260

Therefore, the lowest common multiple of 258,420,399,259,257 is 3262918260.

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.

258 x 420 x 399 x 259 x 257 = 2877893905320

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

399 : 1, 3, 7, 19, 21, 57, 133, 399

259 : 1, 7, 37, 259

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,420,399,259,257, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

420:2x 2x 3x 5x 7

399:3x 7x 19

259:7x 37

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.

2x 3x 3x 7x 7 = 882

Therefore, the value for common factors is 882.

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 = 2877893905320/(1x882)

LCM = 2877893905320/882

LCM = 3262918260

Thus, we can understand that the LCM of 258,420,399,259,257 is 3262918260.

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

• LCM of 791, 898, 977, 659, 119
• LCM of 173, 637, 929, 826, 936
• LCM of 491, 863, 370, 164, 454
• LCM of 473, 391, 471, 754, 339
• LCM of 672, 285, 279, 732, 660

1. What is the LCM of 258, 420, 399, 259, 257?

Answer: LCM of 258, 420, 399, 259, 257 is 3262918260.

2. How to calculate the LCM of 258, 420, 399, 259, 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 258, 420, 399, 259, 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}.