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LCM of 544, 363, 969, 797

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


Find the LCM of 544, 363, 969, 797 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 544, 363, 969, 797. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 544,363,969,797

Given numbers are 544,363,969,797

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

The LCM of 544,363,969,797 is 2990318496.

Find LCM of 544,363,969,797 with Prime Factorization


3 544, 363, 969, 797
17 544, 121, 323, 797
32, 121, 19, 797

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

3 x 17 x 32 x 121 x 19 x 797 = 2990318496

Therefore, the lowest common multiple of 544,363,969,797 is 2990318496.

LCM Formula to Find Lowest Common Multiple of 544,363,969,797

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.

544 x 363 x 969 x 797 = 152506243296

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

363 : 1, 3, 11, 33, 121, 363

969 : 1, 3, 17, 19, 51, 57, 323, 969

797 : 1, 797

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,363,969,797, is 1.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

363:3x 11x 11

969:3x 17x 19

797:797

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

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 152506243296/(1x51)

LCM = 152506243296/51

LCM = 2990318496

Thus, we can understand that the LCM of 544,363,969,797 is 2990318496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 544, 363, 969, 797

1. What is the LCM of 544, 363, 969, 797?

Answer: LCM of 544, 363, 969, 797 is 2990318496.

2. How to calculate the LCM of 544, 363, 969, 797?

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 544, 363, 969, 797.

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}.