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LCM of 579, 609, 685, 965

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


Find the LCM of 579, 609, 685, 965 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 579, 609, 685, 965. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 579,609,685,965

Given numbers are 579,609,685,965

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

The LCM of 579,609,685,965 is 80512845.

Find LCM of 579,609,685,965 with Prime Factorization


3 579, 609, 685, 965
5 193, 203, 685, 965
193 193, 203, 137, 193
1, 203, 137, 1

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

3 x 5 x 193 x 1 x 203 x 137 x 1 = 80512845

Therefore, the lowest common multiple of 579,609,685,965 is 80512845.

LCM Formula to Find Lowest Common Multiple of 579,609,685,965

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.

579 x 609 x 685 x 965 = 233084686275

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.

579 : 1, 3, 193, 579

609 : 1, 3, 7, 21, 29, 87, 203, 609

685 : 1, 5, 137, 685

965 : 1, 5, 193, 965

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,609,685,965, is 1.

Now, the common factors can be found like this.

579:3x 193

609:3x 7x 29

685:5x 137

965:5x 193

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

3x 5x 193 = 2895

Therefore, the value for common factors is 2895.

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 = 233084686275/(1x2895)

LCM = 233084686275/2895

LCM = 80512845

Thus, we can understand that the LCM of 579,609,685,965 is 80512845.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 579, 609, 685, 965

1. What is the LCM of 579, 609, 685, 965?

Answer: LCM of 579, 609, 685, 965 is 80512845.

2. How to calculate the LCM of 579, 609, 685, 965?

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 579, 609, 685, 965.

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}.