LCM of 591, 532, 374, 798, 939
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 532, 374, 798, 939 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 591, 532, 374, 798, 939. So, keep reading to learn more.
Given numbers are 591,532,374,798,939
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,532,374,798,939 is 18402848772.
Find LCM of 591,532,374,798,939 with Prime Factorization
| 2 | 591, 532, 374, 798, 939 |
| 3 | 591, 266, 187, 399, 939 |
| 7 | 197, 266, 187, 133, 313 |
| 19 | 197, 38, 187, 19, 313 |
| 197, 2, 187, 1, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 197 x 2 x 187 x 1 x 313 = 18402848772
Therefore, the lowest common multiple of 591,532,374,798,939 is 18402848772.
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.
591 x 532 x 374 x 798 x 939 = 88112839920336
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.
591 : 1, 3, 197, 591
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
374 : 1, 2, 11, 17, 22, 34, 187, 374
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
939 : 1, 3, 313, 939
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,532,374,798,939, is 1.
Now, the common factors can be found like this.
591:3x 197
532:2x 2x 7x 19
374:2x 11x 17
798:2x 3x 7x 19
939:3x 313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 7x 19 = 4788
Therefore, the value for common factors is 4788.
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 = 88112839920336/(1x4788)
LCM = 88112839920336/4788
LCM = 18402848772
Thus, we can understand that the LCM of 591,532,374,798,939 is 18402848772.
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FAQs on LCM of 591, 532, 374, 798, 939
1. What is the LCM of 591, 532, 374, 798, 939?
Answer: LCM of 591, 532, 374, 798, 939 is 18402848772.
2. How to calculate the LCM of 591, 532, 374, 798, 939?
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 591, 532, 374, 798, 939.
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}.