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LCM of 565, 235, 576, 860

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


Find the LCM of 565, 235, 576, 860 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, 235, 576, 860. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,235,576,860

Given numbers are 565,235,576,860

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

The LCM of 565,235,576,860 is 657714240.

Find LCM of 565,235,576,860 with Prime Factorization


2 565, 235, 576, 860
2 565, 235, 288, 430
5 565, 235, 144, 215
113, 47, 144, 43

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

2 x 2 x 5 x 113 x 47 x 144 x 43 = 657714240

Therefore, the lowest common multiple of 565,235,576,860 is 657714240.

LCM Formula to Find Lowest Common Multiple of 565,235,576,860

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 235 x 576 x 860 = 65771424000

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

235 : 1, 5, 47, 235

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,235,576,860, is 1.

Now, the common factors can be found like this.

565:5x 113

235:5x 47

576:2x 2x 2x 2x 2x 2x 3x 3

860:2x 2x 5x 43

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 5 = 100

Therefore, the value for common factors is 100.

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 = 65771424000/(1x100)

LCM = 65771424000/100

LCM = 657714240

Thus, we can understand that the LCM of 565,235,576,860 is 657714240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 235, 576, 860

1. What is the LCM of 565, 235, 576, 860?

Answer: LCM of 565, 235, 576, 860 is 657714240.

2. How to calculate the LCM of 565, 235, 576, 860?

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, 235, 576, 860.

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}.