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LCM of 338, 871, 169, 371

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


Find the LCM of 338, 871, 169, 371 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 338, 871, 169, 371. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,871,169,371

Given numbers are 338,871,169,371

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

The LCM of 338,871,169,371 is 8401666.

Find LCM of 338,871,169,371 with Prime Factorization


13 338, 871, 169, 371
13 26, 67, 13, 371
2, 67, 1, 371

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

13 x 13 x 2 x 67 x 1 x 371 = 8401666

Therefore, the lowest common multiple of 338,871,169,371 is 8401666.

LCM Formula to Find Lowest Common Multiple of 338,871,169,371

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.

338 x 871 x 169 x 371 = 18458460202

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.

338 : 1, 2, 13, 26, 169, 338

871 : 1, 13, 67, 871

169 : 1, 13, 169

371 : 1, 7, 53, 371

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,871,169,371, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

871:13x 67

169:13x 13

371:7x 53

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

13x 13x 13 = 2197

Therefore, the value for common factors is 2197.

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 = 18458460202/(1x2197)

LCM = 18458460202/2197

LCM = 8401666

Thus, we can understand that the LCM of 338,871,169,371 is 8401666.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 871, 169, 371

1. What is the LCM of 338, 871, 169, 371?

Answer: LCM of 338, 871, 169, 371 is 8401666.

2. How to calculate the LCM of 338, 871, 169, 371?

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 338, 871, 169, 371.

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}.