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LCM of 331, 993, 877, 319, 213

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


Find the LCM of 331, 993, 877, 319, 213 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 331, 993, 877, 319, 213. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 331,993,877,319,213

Given numbers are 331,993,877,319,213

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

The LCM of 331,993,877,319,213 is 19724130789.

Find LCM of 331,993,877,319,213 with Prime Factorization


3 331, 993, 877, 319, 213
331 331, 331, 877, 319, 71
1, 1, 877, 319, 71

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

3 x 331 x 1 x 1 x 877 x 319 x 71 = 19724130789

Therefore, the lowest common multiple of 331,993,877,319,213 is 19724130789.

LCM Formula to Find Lowest Common Multiple of 331,993,877,319,213

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.

331 x 993 x 877 x 319 x 213 = 19586061873477

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.

331 : 1, 331

993 : 1, 3, 331, 993

877 : 1, 877

319 : 1, 11, 29, 319

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,993,877,319,213, is 1.

Now, the common factors can be found like this.

331:331

993:3x 331

877:877

319:11x 29

213:3x 71

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

3x 331 = 993

Therefore, the value for common factors is 993.

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 = 19586061873477/(1x993)

LCM = 19586061873477/993

LCM = 19724130789

Thus, we can understand that the LCM of 331,993,877,319,213 is 19724130789.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 331, 993, 877, 319, 213

1. What is the LCM of 331, 993, 877, 319, 213?

Answer: LCM of 331, 993, 877, 319, 213 is 19724130789.

2. How to calculate the LCM of 331, 993, 877, 319, 213?

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 331, 993, 877, 319, 213.

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}.