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LCM of 826, 753, 439, 807, 348

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


Find the LCM of 826, 753, 439, 807, 348 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 826, 753, 439, 807, 348. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 826,753,439,807,348

Given numbers are 826,753,439,807,348

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

The LCM of 826,753,439,807,348 is 4260100231884.

Find LCM of 826,753,439,807,348 with Prime Factorization


2 826, 753, 439, 807, 348
3 413, 753, 439, 807, 174
413, 251, 439, 269, 58

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

2 x 3 x 413 x 251 x 439 x 269 x 58 = 4260100231884

Therefore, the lowest common multiple of 826,753,439,807,348 is 4260100231884.

LCM Formula to Find Lowest Common Multiple of 826,753,439,807,348

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.

826 x 753 x 439 x 807 x 348 = 76681804173912

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

753 : 1, 3, 251, 753

439 : 1, 439

807 : 1, 3, 269, 807

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,753,439,807,348, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

753:3x 251

439:439

807:3x 269

348:2x 2x 3x 29

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 76681804173912/(1x18)

LCM = 76681804173912/18

LCM = 4260100231884

Thus, we can understand that the LCM of 826,753,439,807,348 is 4260100231884.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 826, 753, 439, 807, 348

1. What is the LCM of 826, 753, 439, 807, 348?

Answer: LCM of 826, 753, 439, 807, 348 is 4260100231884.

2. How to calculate the LCM of 826, 753, 439, 807, 348?

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 826, 753, 439, 807, 348.

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}.