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LCM of 429, 171, 511, 198

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 429, 171, 511, 198 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 429, 171, 511, 198. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,171,511,198

Given numbers are 429,171,511,198

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

The LCM of 429,171,511,198 is 24990966.

Find LCM of 429,171,511,198 with Prime Factorization


3 429, 171, 511, 198
3 143, 57, 511, 66
11 143, 19, 511, 22
13, 19, 511, 2

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

3 x 3 x 11 x 13 x 19 x 511 x 2 = 24990966

Therefore, the lowest common multiple of 429,171,511,198 is 24990966.

LCM Formula to Find Lowest Common Multiple of 429,171,511,198

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.

429 x 171 x 511 x 198 = 7422316902

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

171 : 1, 3, 9, 19, 57, 171

511 : 1, 7, 73, 511

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 429,171,511,198, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

171:3x 3x 19

511:7x 73

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.

3x 3x 3x 11 = 297

Therefore, the value for common factors is 297.

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 = 7422316902/(1x297)

LCM = 7422316902/297

LCM = 24990966

Thus, we can understand that the LCM of 429,171,511,198 is 24990966.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 171, 511, 198

1. What is the LCM of 429, 171, 511, 198?

Answer: LCM of 429, 171, 511, 198 is 24990966.

2. How to calculate the LCM of 429, 171, 511, 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 429, 171, 511, 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}.