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LCM of 759, 943, 308, 778, 799

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


Find the LCM of 759, 943, 308, 778, 799 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 759, 943, 308, 778, 799. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 759,943,308,778,799

Given numbers are 759,943,308,778,799

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

The LCM of 759,943,308,778,799 is 270819570252.

Find LCM of 759,943,308,778,799 with Prime Factorization


2 759, 943, 308, 778, 799
11 759, 943, 154, 389, 799
23 69, 943, 14, 389, 799
3, 41, 14, 389, 799

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

2 x 11 x 23 x 3 x 41 x 14 x 389 x 799 = 270819570252

Therefore, the lowest common multiple of 759,943,308,778,799 is 270819570252.

LCM Formula to Find Lowest Common Multiple of 759,943,308,778,799

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.

759 x 943 x 308 x 778 x 799 = 137034702547512

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

943 : 1, 23, 41, 943

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

778 : 1, 2, 389, 778

799 : 1, 17, 47, 799

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,943,308,778,799, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

943:23x 41

308:2x 2x 7x 11

778:2x 389

799:17x 47

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

2x 11x 23 = 506

Therefore, the value for common factors is 506.

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 = 137034702547512/(1x506)

LCM = 137034702547512/506

LCM = 270819570252

Thus, we can understand that the LCM of 759,943,308,778,799 is 270819570252.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 759, 943, 308, 778, 799

1. What is the LCM of 759, 943, 308, 778, 799?

Answer: LCM of 759, 943, 308, 778, 799 is 270819570252.

2. How to calculate the LCM of 759, 943, 308, 778, 799?

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 759, 943, 308, 778, 799.

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}.