Given numbers are 198,214,160,107

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

The LCM of 198,214,160,107 is 1694880.

Find LCM of 198,214,160,107 with Prime Factorization

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

2 x 107 x 99 x 1 x 80 x 1 = 1694880

Therefore, the lowest common multiple of 198,214,160,107 is 1694880.

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 214 x 160 x 107 = 725408640

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

214 : 1, 2, 107, 214

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,214,160,107, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

214:2x 107

160:2x 2x 2x 2x 2x 5

107:107

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 107 = 428

Therefore, the value for common factors is 428.

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 = 725408640/(1x428)

LCM = 725408640/428

LCM = 1694880

Thus, we can understand that the LCM of 198,214,160,107 is 1694880.

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

• LCM of 161, 482, 563, 941
• LCM of 155, 157, 217, 355
• LCM of 607, 666, 502, 303
• LCM of 845, 491, 168, 197
• LCM of 625, 179, 245, 426

1. What is the LCM of 198, 214, 160, 107?

Answer: LCM of 198, 214, 160, 107 is 1694880.

2. How to calculate the LCM of 198, 214, 160, 107?

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, 214, 160, 107.

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}.