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LCM of 565, 910, 325, 816

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


Find the LCM of 565, 910, 325, 816 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, 910, 325, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,910,325,816

Given numbers are 565,910,325,816

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

The LCM of 565,910,325,816 is 209773200.

Find LCM of 565,910,325,816 with Prime Factorization


2 565, 910, 325, 816
5 565, 455, 325, 408
13 113, 91, 65, 408
113, 7, 5, 408

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

2 x 5 x 13 x 113 x 7 x 5 x 408 = 209773200

Therefore, the lowest common multiple of 565,910,325,816 is 209773200.

LCM Formula to Find Lowest Common Multiple of 565,910,325,816

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 910 x 325 x 816 = 136352580000

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

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

325 : 1, 5, 13, 25, 65, 325

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,910,325,816, is 1.

Now, the common factors can be found like this.

565:5x 113

910:2x 5x 7x 13

325:5x 5x 13

816:2x 2x 2x 2x 3x 17

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

2x 5x 5x 13 = 650

Therefore, the value for common factors is 650.

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 = 136352580000/(1x650)

LCM = 136352580000/650

LCM = 209773200

Thus, we can understand that the LCM of 565,910,325,816 is 209773200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 910, 325, 816

1. What is the LCM of 565, 910, 325, 816?

Answer: LCM of 565, 910, 325, 816 is 209773200.

2. How to calculate the LCM of 565, 910, 325, 816?

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, 910, 325, 816.

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}.