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LCM of 565, 130, 115, 727

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


Find the LCM of 565, 130, 115, 727 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, 130, 115, 727. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,130,115,727

Given numbers are 565,130,115,727

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

The LCM of 565,130,115,727 is 245631490.

Find LCM of 565,130,115,727 with Prime Factorization


5 565, 130, 115, 727
113, 26, 23, 727

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

5 x 113 x 26 x 23 x 727 = 245631490

Therefore, the lowest common multiple of 565,130,115,727 is 245631490.

LCM Formula to Find Lowest Common Multiple of 565,130,115,727

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 130 x 115 x 727 = 6140787250

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

130 : 1, 2, 5, 10, 13, 26, 65, 130

115 : 1, 5, 23, 115

727 : 1, 727

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,130,115,727, is 1.

Now, the common factors can be found like this.

565:5x 113

130:2x 5x 13

115:5x 23

727:727

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 6140787250/(1x25)

LCM = 6140787250/25

LCM = 245631490

Thus, we can understand that the LCM of 565,130,115,727 is 245631490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 130, 115, 727

1. What is the LCM of 565, 130, 115, 727?

Answer: LCM of 565, 130, 115, 727 is 245631490.

2. How to calculate the LCM of 565, 130, 115, 727?

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, 130, 115, 727.

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}.