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LCM of 568, 524, 731, 393, 595

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


Find the LCM of 568, 524, 731, 393, 595 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 568, 524, 731, 393, 595. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 568,524,731,393,595

Given numbers are 568,524,731,393,595

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

The LCM of 568,524,731,393,595 is 5711186040.

Find LCM of 568,524,731,393,595 with Prime Factorization


2 568, 524, 731, 393, 595
2 284, 262, 731, 393, 595
17 142, 131, 731, 393, 595
131 142, 131, 43, 393, 35
142, 1, 43, 3, 35

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

2 x 2 x 17 x 131 x 142 x 1 x 43 x 3 x 35 = 5711186040

Therefore, the lowest common multiple of 568,524,731,393,595 is 5711186040.

LCM Formula to Find Lowest Common Multiple of 568,524,731,393,595

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.

568 x 524 x 731 x 393 x 595 = 50875245244320

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.

568 : 1, 2, 4, 8, 71, 142, 284, 568

524 : 1, 2, 4, 131, 262, 524

731 : 1, 17, 43, 731

393 : 1, 3, 131, 393

595 : 1, 5, 7, 17, 35, 85, 119, 595

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,524,731,393,595, is 1.

Now, the common factors can be found like this.

568:2x 2x 2x 71

524:2x 2x 131

731:17x 43

393:3x 131

595:5x 7x 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 17x 131 = 8908

Therefore, the value for common factors is 8908.

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 = 50875245244320/(1x8908)

LCM = 50875245244320/8908

LCM = 5711186040

Thus, we can understand that the LCM of 568,524,731,393,595 is 5711186040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 568, 524, 731, 393, 595

1. What is the LCM of 568, 524, 731, 393, 595?

Answer: LCM of 568, 524, 731, 393, 595 is 5711186040.

2. How to calculate the LCM of 568, 524, 731, 393, 595?

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 568, 524, 731, 393, 595.

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}.