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LCM of 232, 174, 843

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


Find the LCM of 232, 174, 843 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 232, 174, 843. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 232,174,843

Given numbers are 232,174,843

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

The LCM of 232,174,843 is 195576.

Find LCM of 232,174,843 with Prime Factorization


2 232, 174, 843
3 116, 87, 843
29 116, 29, 281
4, 1, 281

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

2 x 3 x 29 x 4 x 1 x 281 = 195576

Therefore, the lowest common multiple of 232,174,843 is 195576.

LCM Formula to Find Lowest Common Multiple of 232,174,843

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.

232 x 174 x 843 = 34030224

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.

232 : 1, 2, 4, 8, 29, 58, 116, 232

174 : 1, 2, 3, 6, 29, 58, 87, 174

843 : 1, 3, 281, 843

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,174,843, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

174:2x 3x 29

843:3x 281

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

2x 3x 29 = 174

Therefore, the value for common factors is 174.

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 = 34030224/(1x174)

LCM = 34030224/174

LCM = 195576

Thus, we can understand that the LCM of 232,174,843 is 195576.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 232, 174, 843

1. What is the LCM of 232, 174, 843?

Answer: LCM of 232, 174, 843 is 195576.

2. How to calculate the LCM of 232, 174, 843?

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 232, 174, 843.

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}.