Given numbers are 810,497,258,960,138

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

The LCM of 810,497,258,960,138 is 12740535360.

Find LCM of 810,497,258,960,138 with Prime Factorization

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

2 x 3 x 5 x 27 x 497 x 43 x 32 x 23 = 12740535360

Therefore, the lowest common multiple of 810,497,258,960,138 is 12740535360.

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.

810 x 497 x 258 x 960 x 138 = 13759778188800

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

497 : 1, 7, 71, 497

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

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,497,258,960,138, is 1.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

497:7x 71

258:2x 3x 43

960:2x 2x 2x 2x 2x 2x 3x 5

138:2x 3x 23

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 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 13759778188800/(1x1080)

LCM = 13759778188800/1080

LCM = 12740535360

Thus, we can understand that the LCM of 810,497,258,960,138 is 12740535360.

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

• LCM of 578, 974, 990, 342, 912
• LCM of 843, 492, 633, 872, 321
• LCM of 332, 727, 541, 395, 291
• LCM of 408, 178, 246, 842, 182
• LCM of 532, 849, 529, 121, 976

1. What is the LCM of 810, 497, 258, 960, 138?

Answer: LCM of 810, 497, 258, 960, 138 is 12740535360.

2. How to calculate the LCM of 810, 497, 258, 960, 138?

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 810, 497, 258, 960, 138.

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}.