Given numbers are 198,208,202,422

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

The LCM of 198,208,202,422 is 438836112.

Find LCM of 198,208,202,422 with Prime Factorization

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

2 x 99 x 104 x 101 x 211 = 438836112

Therefore, the lowest common multiple of 198,208,202,422 is 438836112.

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 208 x 202 x 422 = 3510688896

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

202 : 1, 2, 101, 202

422 : 1, 2, 211, 422

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,208,202,422, is 2.

Now, the common factors can be found like this.

198:2x 3x 3x 11

208:2x 2x 2x 2x 13

202:2x 101

422:2x 211

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 3510688896/(2x4)

LCM = 3510688896/8

LCM = 438836112

Thus, we can understand that the LCM of 198,208,202,422 is 438836112.

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

• LCM of 598, 815, 772, 283
• LCM of 394, 813, 766, 943
• LCM of 442, 360, 687, 262
• LCM of 855, 309, 480, 365
• LCM of 130, 318, 388, 203

1. What is the LCM of 198, 208, 202, 422?

Answer: LCM of 198, 208, 202, 422 is 438836112.

2. How to calculate the LCM of 198, 208, 202, 422?

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, 208, 202, 422.

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}.