LCM of 517, 885, 477, 767, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 885, 477, 767, 975 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, 885, 477, 767, 975. So, keep reading to learn more.
Given numbers are 517,885,477,767,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,885,477,767,975 is 4728727575.
Find LCM of 517,885,477,767,975 with Prime Factorization
| 3 | 517, 885, 477, 767, 975 |
| 5 | 517, 295, 159, 767, 325 |
| 13 | 517, 59, 159, 767, 65 |
| 59 | 517, 59, 159, 59, 5 |
| 517, 1, 159, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 59 x 517 x 1 x 159 x 1 x 5 = 4728727575
Therefore, the lowest common multiple of 517,885,477,767,975 is 4728727575.
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 885 x 477 x 767 x 975 = 163212032251125
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
885 : 1, 3, 5, 15, 59, 177, 295, 885
477 : 1, 3, 9, 53, 159, 477
767 : 1, 13, 59, 767
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,885,477,767,975, is 1.
Now, the common factors can be found like this.
517:11x 47
885:3x 5x 59
477:3x 3x 53
767:13x 59
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 13x 59 = 34515
Therefore, the value for common factors is 34515.
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 = 163212032251125/(1x34515)
LCM = 163212032251125/34515
LCM = 4728727575
Thus, we can understand that the LCM of 517,885,477,767,975 is 4728727575.
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FAQs on LCM of 517, 885, 477, 767, 975
1. What is the LCM of 517, 885, 477, 767, 975?
Answer: LCM of 517, 885, 477, 767, 975 is 4728727575.
2. How to calculate the LCM of 517, 885, 477, 767, 975?
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, 885, 477, 767, 975.
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}.