Given numbers are 422,167,632,294,198

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

The LCM of 422,167,632,294,198 is 108030722184.

Find LCM of 422,167,632,294,198 with Prime Factorization

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

2 x 3 x 211 x 167 x 316 x 49 x 33 = 108030722184

Therefore, the lowest common multiple of 422,167,632,294,198 is 108030722184.

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 167 x 632 x 294 x 198 = 2592737332416

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

167 : 1, 167

632 : 1, 2, 4, 8, 79, 158, 316, 632

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,167,632,294,198, is 1.

Now, the common factors can be found like this.

422:2x 211

167:167

632:2x 2x 2x 79

294:2x 3x 7x 7

198:2x 3x 3x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 2592737332416/(1x24)

LCM = 2592737332416/24

LCM = 108030722184

Thus, we can understand that the LCM of 422,167,632,294,198 is 108030722184.

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

• LCM of 966, 218, 558, 213, 320
• LCM of 865, 732, 605, 123, 357
• LCM of 469, 132, 996, 827, 784
• LCM of 484, 600, 377, 230, 426
• LCM of 365, 830, 689, 220, 396

1. What is the LCM of 422, 167, 632, 294, 198?

Answer: LCM of 422, 167, 632, 294, 198 is 108030722184.

2. How to calculate the LCM of 422, 167, 632, 294, 198?

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, 167, 632, 294, 198.

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}.