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LCM of 565, 265, 728, 884

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


Find the LCM of 565, 265, 728, 884 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, 265, 728, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,265,728,884

Given numbers are 565,265,728,884

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

The LCM of 565,265,728,884 is 370599320.

Find LCM of 565,265,728,884 with Prime Factorization


2 565, 265, 728, 884
2 565, 265, 364, 442
5 565, 265, 182, 221
13 113, 53, 182, 221
113, 53, 14, 17

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

2 x 2 x 5 x 13 x 113 x 53 x 14 x 17 = 370599320

Therefore, the lowest common multiple of 565,265,728,884 is 370599320.

LCM Formula to Find Lowest Common Multiple of 565,265,728,884

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 265 x 728 x 884 = 96355823200

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

265 : 1, 5, 53, 265

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,265,728,884, is 1.

Now, the common factors can be found like this.

565:5x 113

265:5x 53

728:2x 2x 2x 7x 13

884:2x 2x 13x 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 2x 5x 13 = 260

Therefore, the value for common factors is 260.

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 = 96355823200/(1x260)

LCM = 96355823200/260

LCM = 370599320

Thus, we can understand that the LCM of 565,265,728,884 is 370599320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 265, 728, 884

1. What is the LCM of 565, 265, 728, 884?

Answer: LCM of 565, 265, 728, 884 is 370599320.

2. How to calculate the LCM of 565, 265, 728, 884?

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, 265, 728, 884.

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}.