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LCM of 565, 341, 825, 802, 959

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


Find the LCM of 565, 341, 825, 802, 959 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 565, 341, 825, 802, 959. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,341,825,802,959

Given numbers are 565,341,825,802,959

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

The LCM of 565,341,825,802,959 is 2222731792050.

Find LCM of 565,341,825,802,959 with Prime Factorization


5 565, 341, 825, 802, 959
11 113, 341, 165, 802, 959
113, 31, 15, 802, 959

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

5 x 11 x 113 x 31 x 15 x 802 x 959 = 2222731792050

Therefore, the lowest common multiple of 565,341,825,802,959 is 2222731792050.

LCM Formula to Find Lowest Common Multiple of 565,341,825,802,959

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.

565 x 341 x 825 x 802 x 959 = 122250248562750

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.

565 : 1, 5, 113, 565

341 : 1, 11, 31, 341

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

802 : 1, 2, 401, 802

959 : 1, 7, 137, 959

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,341,825,802,959, is 1.

Now, the common factors can be found like this.

565:5x 113

341:11x 31

825:3x 5x 5x 11

802:2x 401

959:7x 137

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

5x 11 = 55

Therefore, the value for common factors is 55.

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 = 122250248562750/(1x55)

LCM = 122250248562750/55

LCM = 2222731792050

Thus, we can understand that the LCM of 565,341,825,802,959 is 2222731792050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 341, 825, 802, 959

1. What is the LCM of 565, 341, 825, 802, 959?

Answer: LCM of 565, 341, 825, 802, 959 is 2222731792050.

2. How to calculate the LCM of 565, 341, 825, 802, 959?

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 565, 341, 825, 802, 959.

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}.