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LCM of 29, 44, 297

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


Find the LCM of 29, 44, 297 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 29, 44, 297. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 29,44,297

Given numbers are 29,44,297

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

The LCM of 29,44,297 is 34452.

Find LCM of 29,44,297 with Prime Factorization


11 29, 44, 297
29, 4, 27

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

11 x 29 x 4 x 27 = 34452

Therefore, the lowest common multiple of 29,44,297 is 34452.

LCM Formula to Find Lowest Common Multiple of 29,44,297

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.

29 x 44 x 297 = 378972

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.

29 : 1, 29

44 : 1, 2, 4, 11, 22, 44

297 : 1, 3, 9, 11, 27, 33, 99, 297

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 29,44,297, is 1.

Now, the common factors can be found like this.

29:29

44:2x 2x 11

297:3x 3x 3x 11

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

11 = 11

Therefore, the value for common factors is 11.

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 = 378972/(1x11)

LCM = 378972/11

LCM = 34452

Thus, we can understand that the LCM of 29,44,297 is 34452.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 29, 44, 297

1. What is the LCM of 29, 44, 297?

Answer: LCM of 29, 44, 297 is 34452.

2. How to calculate the LCM of 29, 44, 297?

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 29, 44, 297.

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}.