LCM of 441, 398, 760, 231, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 398, 760, 231, 308 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 441, 398, 760, 231, 308. So, keep reading to learn more.
Given numbers are 441,398,760,231,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,398,760,231,308 is 733665240.
Find LCM of 441,398,760,231,308 with Prime Factorization
| 2 | 441, 398, 760, 231, 308 |
| 2 | 441, 199, 380, 231, 154 |
| 3 | 441, 199, 190, 231, 77 |
| 7 | 147, 199, 190, 77, 77 |
| 11 | 21, 199, 190, 11, 11 |
| 21, 199, 190, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 21 x 199 x 190 x 1 x 1 = 733665240
Therefore, the lowest common multiple of 441,398,760,231,308 is 733665240.
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.
441 x 398 x 760 x 231 x 308 = 9490693544640
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
398 : 1, 2, 199, 398
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
231 : 1, 3, 7, 11, 21, 33, 77, 231
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,398,760,231,308, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
398:2x 199
760:2x 2x 2x 5x 19
231:3x 7x 11
308:2x 2x 7x 11
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 7x 7x 11 = 12936
Therefore, the value for common factors is 12936.
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 = 9490693544640/(1x12936)
LCM = 9490693544640/12936
LCM = 733665240
Thus, we can understand that the LCM of 441,398,760,231,308 is 733665240.
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FAQs on LCM of 441, 398, 760, 231, 308
1. What is the LCM of 441, 398, 760, 231, 308?
Answer: LCM of 441, 398, 760, 231, 308 is 733665240.
2. How to calculate the LCM of 441, 398, 760, 231, 308?
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 441, 398, 760, 231, 308.
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}.