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LCM of 127, 319, 198, 731, 825

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


Find the LCM of 127, 319, 198, 731, 825 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 127, 319, 198, 731, 825. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 127,319,198,731,825

Given numbers are 127,319,198,731,825

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

The LCM of 127,319,198,731,825 is 13326751350.

Find LCM of 127,319,198,731,825 with Prime Factorization


3 127, 319, 198, 731, 825
11 127, 319, 66, 731, 275
127, 29, 6, 731, 25

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

3 x 11 x 127 x 29 x 6 x 731 x 25 = 13326751350

Therefore, the lowest common multiple of 127,319,198,731,825 is 13326751350.

LCM Formula to Find Lowest Common Multiple of 127,319,198,731,825

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.

127 x 319 x 198 x 731 x 825 = 4837610740050

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.

127 : 1, 127

319 : 1, 11, 29, 319

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

731 : 1, 17, 43, 731

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,319,198,731,825, is 1.

Now, the common factors can be found like this.

127:127

319:11x 29

198:2x 3x 3x 11

731:17x 43

825:3x 5x 5x 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 11x 11 = 363

Therefore, the value for common factors is 363.

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 = 4837610740050/(1x363)

LCM = 4837610740050/363

LCM = 13326751350

Thus, we can understand that the LCM of 127,319,198,731,825 is 13326751350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 127, 319, 198, 731, 825

1. What is the LCM of 127, 319, 198, 731, 825?

Answer: LCM of 127, 319, 198, 731, 825 is 13326751350.

2. How to calculate the LCM of 127, 319, 198, 731, 825?

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 127, 319, 198, 731, 825.

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}.