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LCM of 871, 683, 434, 386, 233

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


Find the LCM of 871, 683, 434, 386, 233 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 871, 683, 434, 386, 233. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 871,683,434,386,233

Given numbers are 871,683,434,386,233

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

The LCM of 871,683,434,386,233 is 11610256599578.

Find LCM of 871,683,434,386,233 with Prime Factorization


2 871, 683, 434, 386, 233
871, 683, 217, 193, 233

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

2 x 871 x 683 x 217 x 193 x 233 = 11610256599578

Therefore, the lowest common multiple of 871,683,434,386,233 is 11610256599578.

LCM Formula to Find Lowest Common Multiple of 871,683,434,386,233

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.

871 x 683 x 434 x 386 x 233 = 23220513199156

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.

871 : 1, 13, 67, 871

683 : 1, 683

434 : 1, 2, 7, 14, 31, 62, 217, 434

386 : 1, 2, 193, 386

233 : 1, 233

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,683,434,386,233, is 1.

Now, the common factors can be found like this.

871:13x 67

683:683

434:2x 7x 31

386:2x 193

233:233

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

2 = 2

Therefore, the value for common factors is 2.

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 = 23220513199156/(1x2)

LCM = 23220513199156/2

LCM = 11610256599578

Thus, we can understand that the LCM of 871,683,434,386,233 is 11610256599578.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 871, 683, 434, 386, 233

1. What is the LCM of 871, 683, 434, 386, 233?

Answer: LCM of 871, 683, 434, 386, 233 is 11610256599578.

2. How to calculate the LCM of 871, 683, 434, 386, 233?

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 871, 683, 434, 386, 233.

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}.