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LCM of 828, 815, 265, 665

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


Find the LCM of 828, 815, 265, 665 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 828, 815, 265, 665. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 828,815,265,665

Given numbers are 828,815,265,665

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

The LCM of 828,815,265,665 is 4756806180.

Find LCM of 828,815,265,665 with Prime Factorization


5 828, 815, 265, 665
828, 163, 53, 133

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

5 x 828 x 163 x 53 x 133 = 4756806180

Therefore, the lowest common multiple of 828,815,265,665 is 4756806180.

LCM Formula to Find Lowest Common Multiple of 828,815,265,665

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.

828 x 815 x 265 x 665 = 118920154500

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

815 : 1, 5, 163, 815

265 : 1, 5, 53, 265

665 : 1, 5, 7, 19, 35, 95, 133, 665

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,815,265,665, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

815:5x 163

265:5x 53

665:5x 7x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 118920154500/(1x25)

LCM = 118920154500/25

LCM = 4756806180

Thus, we can understand that the LCM of 828,815,265,665 is 4756806180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 828, 815, 265, 665

1. What is the LCM of 828, 815, 265, 665?

Answer: LCM of 828, 815, 265, 665 is 4756806180.

2. How to calculate the LCM of 828, 815, 265, 665?

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 828, 815, 265, 665.

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}.