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LCM of 872, 209, 285, 538

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


Find the LCM of 872, 209, 285, 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 872, 209, 285, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 872,209,285,538

Given numbers are 872,209,285,538

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

The LCM of 872,209,285,538 is 735370680.

Find LCM of 872,209,285,538 with Prime Factorization


2 872, 209, 285, 538
19 436, 209, 285, 269
436, 11, 15, 269

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

2 x 19 x 436 x 11 x 15 x 269 = 735370680

Therefore, the lowest common multiple of 872,209,285,538 is 735370680.

LCM Formula to Find Lowest Common Multiple of 872,209,285,538

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.

872 x 209 x 285 x 538 = 27944085840

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

209 : 1, 11, 19, 209

285 : 1, 3, 5, 15, 19, 57, 95, 285

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,209,285,538, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

209:11x 19

285:3x 5x 19

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 19 = 38

Therefore, the value for common factors is 38.

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 = 27944085840/(1x38)

LCM = 27944085840/38

LCM = 735370680

Thus, we can understand that the LCM of 872,209,285,538 is 735370680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 872, 209, 285, 538

1. What is the LCM of 872, 209, 285, 538?

Answer: LCM of 872, 209, 285, 538 is 735370680.

2. How to calculate the LCM of 872, 209, 285, 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 872, 209, 285, 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}.