Given numbers are 258,312,183,327,408

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

The LCM of 258,312,183,327,408 is 1516450728.

Find LCM of 258,312,183,327,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 43 x 13 x 61 x 109 x 17 = 1516450728

Therefore, the lowest common multiple of 258,312,183,327,408 is 1516450728.

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 312 x 183 x 327 x 408 = 1965320143488

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

183 : 1, 3, 61, 183

327 : 1, 3, 109, 327

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,312,183,327,408, is 3.

Now, the common factors can be found like this.

258:2x 3x 43

312:2x 2x 2x 3x 13

183:3x 61

327:3x 109

408:2x 2x 2x 3x 17

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

2x 2x 2x 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 1965320143488/(3x432)

LCM = 1965320143488/1296

LCM = 1516450728

Thus, we can understand that the LCM of 258,312,183,327,408 is 1516450728.

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

• LCM of 750, 956, 148, 927, 298
• LCM of 841, 271, 678, 447, 396
• LCM of 126, 329, 991, 926, 511
• LCM of 568, 200, 418, 150, 883
• LCM of 396, 757, 656, 208, 254

1. What is the LCM of 258, 312, 183, 327, 408?

Answer: LCM of 258, 312, 183, 327, 408 is 1516450728.

2. How to calculate the LCM of 258, 312, 183, 327, 408?

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, 312, 183, 327, 408.

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}.