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LCM of 429, 181, 585

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


Find the LCM of 429, 181, 585 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 429, 181, 585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,181,585

Given numbers are 429,181,585

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

The LCM of 429,181,585 is 1164735.

Find LCM of 429,181,585 with Prime Factorization


3 429, 181, 585
13 143, 181, 195
11, 181, 15

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

3 x 13 x 11 x 181 x 15 = 1164735

Therefore, the lowest common multiple of 429,181,585 is 1164735.

LCM Formula to Find Lowest Common Multiple of 429,181,585

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.

429 x 181 x 585 = 45424665

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

181 : 1, 181

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,181,585, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

181:181

585:3x 3x 5x 13

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 45424665/(1x39)

LCM = 45424665/39

LCM = 1164735

Thus, we can understand that the LCM of 429,181,585 is 1164735.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 429, 181, 585

1. What is the LCM of 429, 181, 585?

Answer: LCM of 429, 181, 585 is 1164735.

2. How to calculate the LCM of 429, 181, 585?

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 429, 181, 585.

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}.