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LCM of 939, 722, 961, 274

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


Find the LCM of 939, 722, 961, 274 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 939, 722, 961, 274. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 939,722,961,274

Given numbers are 939,722,961,274

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

The LCM of 939,722,961,274 is 89257916406.

Find LCM of 939,722,961,274 with Prime Factorization


2 939, 722, 961, 274
939, 361, 961, 137

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

2 x 939 x 361 x 961 x 137 = 89257916406

Therefore, the lowest common multiple of 939,722,961,274 is 89257916406.

LCM Formula to Find Lowest Common Multiple of 939,722,961,274

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.

939 x 722 x 961 x 274 = 178515832812

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.

939 : 1, 3, 313, 939

722 : 1, 2, 19, 38, 361, 722

961 : 1, 31, 961

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,722,961,274, is 1.

Now, the common factors can be found like this.

939:3x 313

722:2x 19x 19

961:31x 31

274:2x 137

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 = 178515832812/(1x2)

LCM = 178515832812/2

LCM = 89257916406

Thus, we can understand that the LCM of 939,722,961,274 is 89257916406.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 939, 722, 961, 274

1. What is the LCM of 939, 722, 961, 274?

Answer: LCM of 939, 722, 961, 274 is 89257916406.

2. How to calculate the LCM of 939, 722, 961, 274?

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 939, 722, 961, 274.

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}.