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LCM of 824, 319, 165, 609

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


Find the LCM of 824, 319, 165, 609 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 824, 319, 165, 609. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 824,319,165,609

Given numbers are 824,319,165,609

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

The LCM of 824,319,165,609 is 27599880.

Find LCM of 824,319,165,609 with Prime Factorization


3 824, 319, 165, 609
11 824, 319, 55, 203
29 824, 29, 5, 203
824, 1, 5, 7

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

3 x 11 x 29 x 824 x 1 x 5 x 7 = 27599880

Therefore, the lowest common multiple of 824,319,165,609 is 27599880.

LCM Formula to Find Lowest Common Multiple of 824,319,165,609

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.

824 x 319 x 165 x 609 = 26413085160

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

319 : 1, 11, 29, 319

165 : 1, 3, 5, 11, 15, 33, 55, 165

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,319,165,609, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

319:11x 29

165:3x 5x 11

609:3x 7x 29

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

3x 11x 29 = 957

Therefore, the value for common factors is 957.

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 = 26413085160/(1x957)

LCM = 26413085160/957

LCM = 27599880

Thus, we can understand that the LCM of 824,319,165,609 is 27599880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 824, 319, 165, 609

1. What is the LCM of 824, 319, 165, 609?

Answer: LCM of 824, 319, 165, 609 is 27599880.

2. How to calculate the LCM of 824, 319, 165, 609?

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 824, 319, 165, 609.

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}.