LCM of 518, 538, 311, 763, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 518, 538, 311, 763, 964 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 518, 538, 311, 763, 964. So, keep reading to learn more.
Given numbers are 518,538,311,763,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,538,311,763,964 is 2276753248756.
Find LCM of 518,538,311,763,964 with Prime Factorization
| 2 | 518, 538, 311, 763, 964 |
| 7 | 259, 269, 311, 763, 482 |
| 37, 269, 311, 109, 482 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 37 x 269 x 311 x 109 x 482 = 2276753248756
Therefore, the lowest common multiple of 518,538,311,763,964 is 2276753248756.
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.
518 x 538 x 311 x 763 x 964 = 63749090965168
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
538 : 1, 2, 269, 538
311 : 1, 311
763 : 1, 7, 109, 763
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,538,311,763,964, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
538:2x 269
311:311
763:7x 109
964:2x 2x 241
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 7 = 28
Therefore, the value for common factors is 28.
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 = 63749090965168/(1x28)
LCM = 63749090965168/28
LCM = 2276753248756
Thus, we can understand that the LCM of 518,538,311,763,964 is 2276753248756.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 518, 538, 311, 763, 964
1. What is the LCM of 518, 538, 311, 763, 964?
Answer: LCM of 518, 538, 311, 763, 964 is 2276753248756.
2. How to calculate the LCM of 518, 538, 311, 763, 964?
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 518, 538, 311, 763, 964.
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}.