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LCM of 232, 801, 533, 725, 871

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


Find the LCM of 232, 801, 533, 725, 871 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, 801, 533, 725, 871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 232,801,533,725,871

Given numbers are 232,801,533,725,871

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

The LCM of 232,801,533,725,871 is 165906163800.

Find LCM of 232,801,533,725,871 with Prime Factorization


13 232, 801, 533, 725, 871
29 232, 801, 41, 725, 67
8, 801, 41, 25, 67

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

13 x 29 x 8 x 801 x 41 x 25 x 67 = 165906163800

Therefore, the lowest common multiple of 232,801,533,725,871 is 165906163800.

LCM Formula to Find Lowest Common Multiple of 232,801,533,725,871

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 801 x 533 x 725 x 871 = 62546623752600

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

801 : 1, 3, 9, 89, 267, 801

533 : 1, 13, 41, 533

725 : 1, 5, 25, 29, 145, 725

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,801,533,725,871, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

801:3x 3x 89

533:13x 41

725:5x 5x 29

871:13x 67

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

13x 29 = 377

Therefore, the value for common factors is 377.

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 = 62546623752600/(1x377)

LCM = 62546623752600/377

LCM = 165906163800

Thus, we can understand that the LCM of 232,801,533,725,871 is 165906163800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 232, 801, 533, 725, 871

1. What is the LCM of 232, 801, 533, 725, 871?

Answer: LCM of 232, 801, 533, 725, 871 is 165906163800.

2. How to calculate the LCM of 232, 801, 533, 725, 871?

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, 801, 533, 725, 871.

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}.