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LCM of 829, 345, 144

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


Find the LCM of 829, 345, 144 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 829, 345, 144. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 829,345,144

Given numbers are 829,345,144

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

The LCM of 829,345,144 is 13728240.

Find LCM of 829,345,144 with Prime Factorization


3 829, 345, 144
829, 115, 48

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

3 x 829 x 115 x 48 = 13728240

Therefore, the lowest common multiple of 829,345,144 is 13728240.

LCM Formula to Find Lowest Common Multiple of 829,345,144

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.

829 x 345 x 144 = 41184720

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.

829 : 1, 829

345 : 1, 3, 5, 15, 23, 69, 115, 345

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,345,144, is 1.

Now, the common factors can be found like this.

829:829

345:3x 5x 23

144:2x 2x 2x 2x 3x 3

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 = 41184720/(1x3)

LCM = 41184720/3

LCM = 13728240

Thus, we can understand that the LCM of 829,345,144 is 13728240.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 829, 345, 144

1. What is the LCM of 829, 345, 144?

Answer: LCM of 829, 345, 144 is 13728240.

2. How to calculate the LCM of 829, 345, 144?

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 829, 345, 144.

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}.