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LCM of 825, 519, 275, 514

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


Find the LCM of 825, 519, 275, 514 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 825, 519, 275, 514. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 825,519,275,514

Given numbers are 825,519,275,514

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

The LCM of 825,519,275,514 is 73360650.

Find LCM of 825,519,275,514 with Prime Factorization


3 825, 519, 275, 514
5 275, 173, 275, 514
5 55, 173, 55, 514
11 11, 173, 11, 514
1, 173, 1, 514

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

3 x 5 x 5 x 11 x 1 x 173 x 1 x 514 = 73360650

Therefore, the lowest common multiple of 825,519,275,514 is 73360650.

LCM Formula to Find Lowest Common Multiple of 825,519,275,514

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.

825 x 519 x 275 x 514 = 60522536250

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.

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

519 : 1, 3, 173, 519

275 : 1, 5, 11, 25, 55, 275

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,519,275,514, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

519:3x 173

275:5x 5x 11

514:2x 257

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

3x 5x 5x 11 = 825

Therefore, the value for common factors is 825.

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 = 60522536250/(1x825)

LCM = 60522536250/825

LCM = 73360650

Thus, we can understand that the LCM of 825,519,275,514 is 73360650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 825, 519, 275, 514

1. What is the LCM of 825, 519, 275, 514?

Answer: LCM of 825, 519, 275, 514 is 73360650.

2. How to calculate the LCM of 825, 519, 275, 514?

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 825, 519, 275, 514.

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}.