Given numbers are 198,117,900,588,381

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

The LCM of 198,117,900,588,381 is 800900100.

Find LCM of 198,117,900,588,381 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 13 x 25 x 49 x 127 = 800900100

Therefore, the lowest common multiple of 198,117,900,588,381 is 800900100.

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.

198 x 117 x 900 x 588 x 381 = 4670849383200

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.

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

117 : 1, 3, 9, 13, 39, 117

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

381 : 1, 3, 127, 381

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,117,900,588,381, is 3.

Now, the common factors can be found like this.

198:2x 3x 3x 11

117:3x 3x 13

900:2x 2x 3x 3x 5x 5

588:2x 2x 3x 7x 7

381:3x 127

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 3x 3x 3x 3x 3 = 1944

Therefore, the value for common factors is 1944.

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 = 4670849383200/(3x1944)

LCM = 4670849383200/5832

LCM = 800900100

Thus, we can understand that the LCM of 198,117,900,588,381 is 800900100.

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

• LCM of 949, 835, 827, 717, 376
• LCM of 785, 994, 173, 636, 273
• LCM of 495, 684, 288, 212, 698
• LCM of 447, 239, 216, 332, 762
• LCM of 343, 264, 405, 764, 491

1. What is the LCM of 198, 117, 900, 588, 381?

Answer: LCM of 198, 117, 900, 588, 381 is 800900100.

2. How to calculate the LCM of 198, 117, 900, 588, 381?

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 198, 117, 900, 588, 381.

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}.