Given numbers are 206,471,468,258,307

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

The LCM of 206,471,468,258,307 is 99905537628.

Find LCM of 206,471,468,258,307 with Prime Factorization

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

2 x 3 x 103 x 157 x 78 x 43 x 307 = 99905537628

Therefore, the lowest common multiple of 206,471,468,258,307 is 99905537628.

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.

206 x 471 x 468 x 258 x 307 = 3596599354608

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.

206 : 1, 2, 103, 206

471 : 1, 3, 157, 471

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,471,468,258,307, is 1.

Now, the common factors can be found like this.

206:2x 103

471:3x 157

468:2x 2x 3x 3x 13

258:2x 3x 43

307:307

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 3596599354608/(1x36)

LCM = 3596599354608/36

LCM = 99905537628

Thus, we can understand that the LCM of 206,471,468,258,307 is 99905537628.

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

• LCM of 730, 730, 566, 525, 646
• LCM of 631, 943, 816, 785, 557
• LCM of 124, 940, 869, 354, 890
• LCM of 714, 758, 328, 312, 229
• LCM of 339, 107, 663, 609, 913

1. What is the LCM of 206, 471, 468, 258, 307?

Answer: LCM of 206, 471, 468, 258, 307 is 99905537628.

2. How to calculate the LCM of 206, 471, 468, 258, 307?

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 206, 471, 468, 258, 307.

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}.