LCM of 937, 986, 108, 468, 503
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 937, 986, 108, 468, 503 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 937, 986, 108, 468, 503. So, keep reading to learn more.
Given numbers are 937,986,108,468,503
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,986,108,468,503 is 326228277492.
Find LCM of 937,986,108,468,503 with Prime Factorization
| 2 | 937, 986, 108, 468, 503 |
| 2 | 937, 493, 54, 234, 503 |
| 3 | 937, 493, 27, 117, 503 |
| 3 | 937, 493, 9, 39, 503 |
| 937, 493, 3, 13, 503 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 937 x 493 x 3 x 13 x 503 = 326228277492
Therefore, the lowest common multiple of 937,986,108,468,503 is 326228277492.
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.
937 x 986 x 108 x 468 x 503 = 23488435979424
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.
937 : 1, 937
986 : 1, 2, 17, 29, 34, 58, 493, 986
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
503 : 1, 503
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,986,108,468,503, is 1.
Now, the common factors can be found like this.
937:937
986:2x 17x 29
108:2x 2x 3x 3x 3
468:2x 2x 3x 3x 13
503:503
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 2x 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 23488435979424/(1x72)
LCM = 23488435979424/72
LCM = 326228277492
Thus, we can understand that the LCM of 937,986,108,468,503 is 326228277492.
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FAQs on LCM of 937, 986, 108, 468, 503
1. What is the LCM of 937, 986, 108, 468, 503?
Answer: LCM of 937, 986, 108, 468, 503 is 326228277492.
2. How to calculate the LCM of 937, 986, 108, 468, 503?
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 937, 986, 108, 468, 503.
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}.