LCM of 331, 935, 605, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 331, 935, 605, 323 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 331, 935, 605, 323. So, keep reading to learn more.
Given numbers are 331,935,605,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 331,935,605,323 is 64682365.
Find LCM of 331,935,605,323 with Prime Factorization
| 5 | 331, 935, 605, 323 |
| 11 | 331, 187, 121, 323 |
| 17 | 331, 17, 11, 323 |
| 331, 1, 11, 19 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 17 x 331 x 1 x 11 x 19 = 64682365
Therefore, the lowest common multiple of 331,935,605,323 is 64682365.
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.
331 x 935 x 605 x 323 = 60478011275
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.
331 : 1, 331
935 : 1, 5, 11, 17, 55, 85, 187, 935
605 : 1, 5, 11, 55, 121, 605
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,935,605,323, is 1.
Now, the common factors can be found like this.
331:331
935:5x 11x 17
605:5x 11x 11
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 17 = 935
Therefore, the value for common factors is 935.
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 = 60478011275/(1x935)
LCM = 60478011275/935
LCM = 64682365
Thus, we can understand that the LCM of 331,935,605,323 is 64682365.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 331, 935, 605, 323
1. What is the LCM of 331, 935, 605, 323?
Answer: LCM of 331, 935, 605, 323 is 64682365.
2. How to calculate the LCM of 331, 935, 605, 323?
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 331, 935, 605, 323.
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}.