LCM of 939, 556, 309, 246, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 556, 309, 246, 428 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 939, 556, 309, 246, 428. So, keep reading to learn more.
Given numbers are 939,556,309,246,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,556,309,246,428 is 235909398324.
Find LCM of 939,556,309,246,428 with Prime Factorization
| 2 | 939, 556, 309, 246, 428 |
| 2 | 939, 278, 309, 123, 214 |
| 3 | 939, 139, 309, 123, 107 |
| 313, 139, 103, 41, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 313 x 139 x 103 x 41 x 107 = 235909398324
Therefore, the lowest common multiple of 939,556,309,246,428 is 235909398324.
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.
939 x 556 x 309 x 246 x 428 = 16985476679328
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.
939 : 1, 3, 313, 939
556 : 1, 2, 4, 139, 278, 556
309 : 1, 3, 103, 309
246 : 1, 2, 3, 6, 41, 82, 123, 246
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,556,309,246,428, is 1.
Now, the common factors can be found like this.
939:3x 313
556:2x 2x 139
309:3x 103
246:2x 3x 41
428:2x 2x 107
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 = 16985476679328/(1x72)
LCM = 16985476679328/72
LCM = 235909398324
Thus, we can understand that the LCM of 939,556,309,246,428 is 235909398324.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 939, 556, 309, 246, 428
1. What is the LCM of 939, 556, 309, 246, 428?
Answer: LCM of 939, 556, 309, 246, 428 is 235909398324.
2. How to calculate the LCM of 939, 556, 309, 246, 428?
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 939, 556, 309, 246, 428.
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}.