Given numbers are 198,219,222,118

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

The LCM of 198,219,222,118 is 31553082.

Find LCM of 198,219,222,118 with Prime Factorization

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

2 x 3 x 33 x 73 x 37 x 59 = 31553082

Therefore, the lowest common multiple of 198,219,222,118 is 31553082.

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 219 x 222 x 118 = 1135910952

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

219 : 1, 3, 73, 219

222 : 1, 2, 3, 6, 37, 74, 111, 222

118 : 1, 2, 59, 118

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,219,222,118, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

219:3x 73

222:2x 3x 37

118:2x 59

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 3 = 36

Therefore, the value for common factors is 36.

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 = 1135910952/(1x36)

LCM = 1135910952/36

LCM = 31553082

Thus, we can understand that the LCM of 198,219,222,118 is 31553082.

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

• LCM of 360, 811, 613, 620
• LCM of 939, 940, 288, 785
• LCM of 377, 271, 627, 222
• LCM of 337, 367, 709, 703
• LCM of 766, 922, 797, 895

1. What is the LCM of 198, 219, 222, 118?

Answer: LCM of 198, 219, 222, 118 is 31553082.

2. How to calculate the LCM of 198, 219, 222, 118?

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, 219, 222, 118.

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}.