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LCM of 820, 370, 259, 538

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


Find the LCM of 820, 370, 259, 538 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 820, 370, 259, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 820,370,259,538

Given numbers are 820,370,259,538

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

The LCM of 820,370,259,538 is 57130220.

Find LCM of 820,370,259,538 with Prime Factorization


2 820, 370, 259, 538
5 410, 185, 259, 269
37 82, 37, 259, 269
82, 1, 7, 269

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

2 x 5 x 37 x 82 x 1 x 7 x 269 = 57130220

Therefore, the lowest common multiple of 820,370,259,538 is 57130220.

LCM Formula to Find Lowest Common Multiple of 820,370,259,538

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.

820 x 370 x 259 x 538 = 42276362800

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

370 : 1, 2, 5, 10, 37, 74, 185, 370

259 : 1, 7, 37, 259

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,370,259,538, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

370:2x 5x 37

259:7x 37

538:2x 269

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

2x 2x 5x 37 = 740

Therefore, the value for common factors is 740.

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 = 42276362800/(1x740)

LCM = 42276362800/740

LCM = 57130220

Thus, we can understand that the LCM of 820,370,259,538 is 57130220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 820, 370, 259, 538

1. What is the LCM of 820, 370, 259, 538?

Answer: LCM of 820, 370, 259, 538 is 57130220.

2. How to calculate the LCM of 820, 370, 259, 538?

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 820, 370, 259, 538.

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}.