LCM of 884, 417, 339, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 417, 339, 390 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 884, 417, 339, 390. So, keep reading to learn more.
Given numbers are 884,417,339,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,417,339,390 is 208274820.
Find LCM of 884,417,339,390 with Prime Factorization
| 2 | 884, 417, 339, 390 |
| 3 | 442, 417, 339, 195 |
| 13 | 442, 139, 113, 65 |
| 34, 139, 113, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 34 x 139 x 113 x 5 = 208274820
Therefore, the lowest common multiple of 884,417,339,390 is 208274820.
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.
884 x 417 x 339 x 390 = 48736307880
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
417 : 1, 3, 139, 417
339 : 1, 3, 113, 339
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,417,339,390, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
417:3x 139
339:3x 113
390:2x 3x 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.
2x 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 48736307880/(1x234)
LCM = 48736307880/234
LCM = 208274820
Thus, we can understand that the LCM of 884,417,339,390 is 208274820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 884, 417, 339, 390
1. What is the LCM of 884, 417, 339, 390?
Answer: LCM of 884, 417, 339, 390 is 208274820.
2. How to calculate the LCM of 884, 417, 339, 390?
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 884, 417, 339, 390.
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}.