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LCM of 565, 339, 679, 565

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


Find the LCM of 565, 339, 679, 565 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, 339, 679, 565. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,339,679,565

Given numbers are 565,339,679,565

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

The LCM of 565,339,679,565 is 1150905.

Find LCM of 565,339,679,565 with Prime Factorization


5 565, 339, 679, 565
113 113, 339, 679, 113
1, 3, 679, 1

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

5 x 113 x 1 x 3 x 679 x 1 = 1150905

Therefore, the lowest common multiple of 565,339,679,565 is 1150905.

LCM Formula to Find Lowest Common Multiple of 565,339,679,565

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 339 x 679 x 565 = 73479529725

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

339 : 1, 3, 113, 339

679 : 1, 7, 97, 679

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,339,679,565, is 1.

Now, the common factors can be found like this.

565:5x 113

339:3x 113

679:7x 97

565:5x 113

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

5x 113x 113 = 63845

Therefore, the value for common factors is 63845.

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 = 73479529725/(1x63845)

LCM = 73479529725/63845

LCM = 1150905

Thus, we can understand that the LCM of 565,339,679,565 is 1150905.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 339, 679, 565

1. What is the LCM of 565, 339, 679, 565?

Answer: LCM of 565, 339, 679, 565 is 1150905.

2. How to calculate the LCM of 565, 339, 679, 565?

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, 339, 679, 565.

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}.