Given numbers are 422,198,810,750

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

The LCM of 422,198,810,750 is 47000250.

Find LCM of 422,198,810,750 with Prime Factorization

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

2 x 3 x 3 x 5 x 211 x 11 x 9 x 25 = 47000250

Therefore, the lowest common multiple of 422,198,810,750 is 47000250.

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.

422 x 198 x 810 x 750 = 50760270000

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.

422 : 1, 2, 211, 422

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,198,810,750, is 2.

Now, the common factors can be found like this.

422:2x 211

198:2x 3x 3x 11

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

750:2x 3x 5x 5x 5

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 3x 3x 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 50760270000/(2x540)

LCM = 50760270000/1080

LCM = 47000250

Thus, we can understand that the LCM of 422,198,810,750 is 47000250.

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

• LCM of 297, 967, 380, 405
• LCM of 803, 770, 862, 501
• LCM of 526, 614, 342, 223
• LCM of 378, 735, 688, 139
• LCM of 951, 194, 469, 471

1. What is the LCM of 422, 198, 810, 750?

Answer: LCM of 422, 198, 810, 750 is 47000250.

2. How to calculate the LCM of 422, 198, 810, 750?

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 422, 198, 810, 750.

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}.