Given numbers are 810,138,194,974

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

The LCM of 810,138,194,974 is 880062570.

Find LCM of 810,138,194,974 with Prime Factorization

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

2 x 3 x 135 x 23 x 97 x 487 = 880062570

Therefore, the lowest common multiple of 810,138,194,974 is 880062570.

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 138 x 194 x 974 = 21121501680

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

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

194 : 1, 2, 97, 194

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,138,194,974, is 2.

Now, the common factors can be found like this.

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

138:2x 3x 23

194:2x 97

974:2x 487

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 3 = 12

Therefore, the value for common factors is 12.

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 = 21121501680/(2x12)

LCM = 21121501680/24

LCM = 880062570

Thus, we can understand that the LCM of 810,138,194,974 is 880062570.

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

• LCM of 174, 281, 713, 728
• LCM of 827, 764, 498, 935
• LCM of 461, 332, 371, 211
• LCM of 758, 398, 545, 767
• LCM of 545, 459, 129, 154

1. What is the LCM of 810, 138, 194, 974?

Answer: LCM of 810, 138, 194, 974 is 880062570.

2. How to calculate the LCM of 810, 138, 194, 974?

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, 138, 194, 974.

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}.