LCM of 591, 978, 596, 961, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 978, 596, 961, 363 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, 978, 596, 961, 363. So, keep reading to learn more.
Given numbers are 591,978,596,961,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,978,596,961,363 is 6676211753508.
Find LCM of 591,978,596,961,363 with Prime Factorization
| 2 | 591, 978, 596, 961, 363 |
| 3 | 591, 489, 298, 961, 363 |
| 197, 163, 298, 961, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 197 x 163 x 298 x 961 x 121 = 6676211753508
Therefore, the lowest common multiple of 591,978,596,961,363 is 6676211753508.
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 978 x 596 x 961 x 363 = 120171811563144
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
978 : 1, 2, 3, 6, 163, 326, 489, 978
596 : 1, 2, 4, 149, 298, 596
961 : 1, 31, 961
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,978,596,961,363, is 1.
Now, the common factors can be found like this.
591:3x 197
978:2x 3x 163
596:2x 2x 149
961:31x 31
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 120171811563144/(1x18)
LCM = 120171811563144/18
LCM = 6676211753508
Thus, we can understand that the LCM of 591,978,596,961,363 is 6676211753508.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 591, 978, 596, 961, 363
1. What is the LCM of 591, 978, 596, 961, 363?
Answer: LCM of 591, 978, 596, 961, 363 is 6676211753508.
2. How to calculate the LCM of 591, 978, 596, 961, 363?
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, 978, 596, 961, 363.
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}.