Given numbers are 258,546,481,920,144

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

The LCM of 258,546,481,920,144 is 2397573360.

Find LCM of 258,546,481,920,144 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 43 x 7 x 37 x 115 x 6 = 2397573360

Therefore, the lowest common multiple of 258,546,481,920,144 is 2397573360.

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 546 x 481 x 920 x 144 = 8976514659840

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

481 : 1, 13, 37, 481

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,546,481,920,144, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

546:2x 3x 7x 13

481:13x 37

920:2x 2x 2x 5x 23

144:2x 2x 2x 2x 3x 3

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 2x 3x 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 8976514659840/(1x3744)

LCM = 8976514659840/3744

LCM = 2397573360

Thus, we can understand that the LCM of 258,546,481,920,144 is 2397573360.

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

• LCM of 265, 986, 843, 261, 890
• LCM of 423, 463, 944, 923, 535
• LCM of 908, 773, 385, 921, 304
• LCM of 792, 294, 680, 849, 267
• LCM of 541, 835, 611, 179, 390

1. What is the LCM of 258, 546, 481, 920, 144?

Answer: LCM of 258, 546, 481, 920, 144 is 2397573360.

2. How to calculate the LCM of 258, 546, 481, 920, 144?

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, 546, 481, 920, 144.

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}.