LCM of 517, 310, 966, 987, 932
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 310, 966, 987, 932 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, 310, 966, 987, 932. So, keep reading to learn more.
Given numbers are 517,310,966,987,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,310,966,987,932 is 36073251060.
Find LCM of 517,310,966,987,932 with Prime Factorization
| 2 | 517, 310, 966, 987, 932 |
| 3 | 517, 155, 483, 987, 466 |
| 7 | 517, 155, 161, 329, 466 |
| 47 | 517, 155, 23, 47, 466 |
| 11, 155, 23, 1, 466 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 47 x 11 x 155 x 23 x 1 x 466 = 36073251060
Therefore, the lowest common multiple of 517,310,966,987,932 is 36073251060.
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 310 x 966 x 987 x 932 = 142417195184880
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
310 : 1, 2, 5, 10, 31, 62, 155, 310
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
987 : 1, 3, 7, 21, 47, 141, 329, 987
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,310,966,987,932, is 1.
Now, the common factors can be found like this.
517:11x 47
310:2x 5x 31
966:2x 3x 7x 23
987:3x 7x 47
932:2x 2x 233
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 7x 47 = 3948
Therefore, the value for common factors is 3948.
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 = 142417195184880/(1x3948)
LCM = 142417195184880/3948
LCM = 36073251060
Thus, we can understand that the LCM of 517,310,966,987,932 is 36073251060.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 517, 310, 966, 987, 932
1. What is the LCM of 517, 310, 966, 987, 932?
Answer: LCM of 517, 310, 966, 987, 932 is 36073251060.
2. How to calculate the LCM of 517, 310, 966, 987, 932?
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, 310, 966, 987, 932.
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}.