Given numbers are 892,193,836,291,138

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

The LCM of 892,193,836,291,138 is 240818182572.

Find LCM of 892,193,836,291,138 with Prime Factorization

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

2 x 2 x 3 x 223 x 193 x 209 x 97 x 23 = 240818182572

Therefore, the lowest common multiple of 892,193,836,291,138 is 240818182572.

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.

892 x 193 x 836 x 291 x 138 = 5779636381728

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.

892 : 1, 2, 4, 223, 446, 892

193 : 1, 193

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

291 : 1, 3, 97, 291

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 892,193,836,291,138, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

193:193

836:2x 2x 11x 19

291:3x 97

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5779636381728/(1x24)

LCM = 5779636381728/24

LCM = 240818182572

Thus, we can understand that the LCM of 892,193,836,291,138 is 240818182572.

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

• LCM of 699, 658, 231, 932, 360
• LCM of 270, 386, 160, 322, 641
• LCM of 186, 350, 404, 870, 809
• LCM of 116, 705, 743, 149, 796
• LCM of 626, 598, 288, 912, 549

1. What is the LCM of 892, 193, 836, 291, 138?

Answer: LCM of 892, 193, 836, 291, 138 is 240818182572.

2. How to calculate the LCM of 892, 193, 836, 291, 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 892, 193, 836, 291, 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}.