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LCM of 893, 825, 815, 815

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


Find the LCM of 893, 825, 815, 815 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 893, 825, 815, 815. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 893,825,815,815

Given numbers are 893,825,815,815

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

The LCM of 893,825,815,815 is 120086175.

Find LCM of 893,825,815,815 with Prime Factorization


5 893, 825, 815, 815
163 893, 165, 163, 163
893, 165, 1, 1

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

5 x 163 x 893 x 165 x 1 x 1 = 120086175

Therefore, the lowest common multiple of 893,825,815,815 is 120086175.

LCM Formula to Find Lowest Common Multiple of 893,825,815,815

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.

893 x 825 x 815 x 815 = 489351163125

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.

893 : 1, 19, 47, 893

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

815 : 1, 5, 163, 815

815 : 1, 5, 163, 815

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,825,815,815, is 1.

Now, the common factors can be found like this.

893:19x 47

825:3x 5x 5x 11

815:5x 163

815:5x 163

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

5x 5x 163 = 4075

Therefore, the value for common factors is 4075.

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 = 489351163125/(1x4075)

LCM = 489351163125/4075

LCM = 120086175

Thus, we can understand that the LCM of 893,825,815,815 is 120086175.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 893, 825, 815, 815

1. What is the LCM of 893, 825, 815, 815?

Answer: LCM of 893, 825, 815, 815 is 120086175.

2. How to calculate the LCM of 893, 825, 815, 815?

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 893, 825, 815, 815.

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}.