LCM of 517, 339, 978, 877, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 339, 978, 877, 990 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 517, 339, 978, 877, 990. So, keep reading to learn more.
Given numbers are 517,339,978,877,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,339,978,877,990 is 751620633390.
Find LCM of 517,339,978,877,990 with Prime Factorization
| 2 | 517, 339, 978, 877, 990 |
| 3 | 517, 339, 489, 877, 495 |
| 11 | 517, 113, 163, 877, 165 |
| 47, 113, 163, 877, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 47 x 113 x 163 x 877 x 15 = 751620633390
Therefore, the lowest common multiple of 517,339,978,877,990 is 751620633390.
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.
517 x 339 x 978 x 877 x 990 = 148820885411220
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.
517 : 1, 11, 47, 517
339 : 1, 3, 113, 339
978 : 1, 2, 3, 6, 163, 326, 489, 978
877 : 1, 877
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,339,978,877,990, is 1.
Now, the common factors can be found like this.
517:11x 47
339:3x 113
978:2x 3x 163
877:877
990:2x 3x 3x 5x 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 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 148820885411220/(1x198)
LCM = 148820885411220/198
LCM = 751620633390
Thus, we can understand that the LCM of 517,339,978,877,990 is 751620633390.
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FAQs on LCM of 517, 339, 978, 877, 990
1. What is the LCM of 517, 339, 978, 877, 990?
Answer: LCM of 517, 339, 978, 877, 990 is 751620633390.
2. How to calculate the LCM of 517, 339, 978, 877, 990?
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 517, 339, 978, 877, 990.
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}.