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LCM of 938, 171, 353, 691, 353

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


Find the LCM of 938, 171, 353, 691, 353 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 938, 171, 353, 691, 353. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 938,171,353,691,353

Given numbers are 938,171,353,691,353

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

The LCM of 938,171,353,691,353 is 39124761354.

Find LCM of 938,171,353,691,353 with Prime Factorization


353 938, 171, 353, 691, 353
938, 171, 1, 691, 1

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

353 x 938 x 171 x 1 x 691 x 1 = 39124761354

Therefore, the lowest common multiple of 938,171,353,691,353 is 39124761354.

LCM Formula to Find Lowest Common Multiple of 938,171,353,691,353

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.

938 x 171 x 353 x 691 x 353 = 13811040757962

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.

938 : 1, 2, 7, 14, 67, 134, 469, 938

171 : 1, 3, 9, 19, 57, 171

353 : 1, 353

691 : 1, 691

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,171,353,691,353, is 1.

Now, the common factors can be found like this.

938:2x 7x 67

171:3x 3x 19

353:353

691:691

353:353

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

353 = 353

Therefore, the value for common factors is 353.

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 = 13811040757962/(1x353)

LCM = 13811040757962/353

LCM = 39124761354

Thus, we can understand that the LCM of 938,171,353,691,353 is 39124761354.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 938, 171, 353, 691, 353

1. What is the LCM of 938, 171, 353, 691, 353?

Answer: LCM of 938, 171, 353, 691, 353 is 39124761354.

2. How to calculate the LCM of 938, 171, 353, 691, 353?

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 938, 171, 353, 691, 353.

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}.