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LCM of 559, 678, 765

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


Find the LCM of 559, 678, 765 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 559, 678, 765. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 559,678,765

Given numbers are 559,678,765

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

The LCM of 559,678,765 is 96645510.

Find LCM of 559,678,765 with Prime Factorization


3 559, 678, 765
559, 226, 255

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

3 x 559 x 226 x 255 = 96645510

Therefore, the lowest common multiple of 559,678,765 is 96645510.

LCM Formula to Find Lowest Common Multiple of 559,678,765

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.

559 x 678 x 765 = 289936530

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.

559 : 1, 13, 43, 559

678 : 1, 2, 3, 6, 113, 226, 339, 678

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,678,765, is 1.

Now, the common factors can be found like this.

559:13x 43

678:2x 3x 113

765:3x 3x 5x 17

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

3 = 3

Therefore, the value for common factors is 3.

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 = 289936530/(1x3)

LCM = 289936530/3

LCM = 96645510

Thus, we can understand that the LCM of 559,678,765 is 96645510.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 559, 678, 765

1. What is the LCM of 559, 678, 765?

Answer: LCM of 559, 678, 765 is 96645510.

2. How to calculate the LCM of 559, 678, 765?

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 559, 678, 765.

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}.