Given numbers are 131,422,177,988,504

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

The LCM of 131,422,177,988,504 is 203017395672.

Find LCM of 131,422,177,988,504 with Prime Factorization

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

2 x 2 x 3 x 131 x 211 x 59 x 247 x 42 = 203017395672

Therefore, the lowest common multiple of 131,422,177,988,504 is 203017395672.

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.

131 x 422 x 177 x 988 x 504 = 4872417496128

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.

131 : 1, 131

422 : 1, 2, 211, 422

177 : 1, 3, 59, 177

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,422,177,988,504, is 1.

Now, the common factors can be found like this.

131:131

422:2x 211

177:3x 59

988:2x 2x 13x 19

504:2x 2x 2x 3x 3x 7

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 = 4872417496128/(1x24)

LCM = 4872417496128/24

LCM = 203017395672

Thus, we can understand that the LCM of 131,422,177,988,504 is 203017395672.

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

• LCM of 933, 907, 864, 943, 271
• LCM of 425, 979, 206, 818, 538
• LCM of 106, 837, 291, 105, 725
• LCM of 320, 523, 788, 561, 329
• LCM of 648, 526, 991, 809, 721

1. What is the LCM of 131, 422, 177, 988, 504?

Answer: LCM of 131, 422, 177, 988, 504 is 203017395672.

2. How to calculate the LCM of 131, 422, 177, 988, 504?

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 131, 422, 177, 988, 504.

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}.