Given numbers are 187,576,198,750

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

The LCM of 187,576,198,750 is 13464000.

Find LCM of 187,576,198,750 with Prime Factorization

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

2 x 3 x 3 x 11 x 17 x 32 x 1 x 125 = 13464000

Therefore, the lowest common multiple of 187,576,198,750 is 13464000.

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.

187 x 576 x 198 x 750 = 15995232000

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.

187 : 1, 11, 17, 187

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,576,198,750, is 1.

Now, the common factors can be found like this.

187:11x 17

576:2x 2x 2x 2x 2x 2x 3x 3

198:2x 3x 3x 11

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 11 = 1188

Therefore, the value for common factors is 1188.

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 = 15995232000/(1x1188)

LCM = 15995232000/1188

LCM = 13464000

Thus, we can understand that the LCM of 187,576,198,750 is 13464000.

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

• LCM of 590, 444, 665, 588
• LCM of 700, 877, 494, 937
• LCM of 969, 156, 385, 923
• LCM of 521, 579, 143, 315
• LCM of 800, 476, 666, 903

1. What is the LCM of 187, 576, 198, 750?

Answer: LCM of 187, 576, 198, 750 is 13464000.

2. How to calculate the LCM of 187, 576, 198, 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 187, 576, 198, 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}.