LCM of 313, 407, 418, 304, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 407, 418, 304, 589 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 313, 407, 418, 304, 589. So, keep reading to learn more.
Given numbers are 313,407,418,304,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,407,418,304,589 is 1200532784.
Find LCM of 313,407,418,304,589 with Prime Factorization
| 2 | 313, 407, 418, 304, 589 |
| 11 | 313, 407, 209, 152, 589 |
| 19 | 313, 37, 19, 152, 589 |
| 313, 37, 1, 8, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 313 x 37 x 1 x 8 x 31 = 1200532784
Therefore, the lowest common multiple of 313,407,418,304,589 is 1200532784.
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.
313 x 407 x 418 x 304 x 589 = 9534631370528
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.
313 : 1, 313
407 : 1, 11, 37, 407
418 : 1, 2, 11, 19, 22, 38, 209, 418
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,407,418,304,589, is 1.
Now, the common factors can be found like this.
313:313
407:11x 37
418:2x 11x 19
304:2x 2x 2x 2x 19
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 19x 19 = 7942
Therefore, the value for common factors is 7942.
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 = 9534631370528/(1x7942)
LCM = 9534631370528/7942
LCM = 1200532784
Thus, we can understand that the LCM of 313,407,418,304,589 is 1200532784.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 313, 407, 418, 304, 589
1. What is the LCM of 313, 407, 418, 304, 589?
Answer: LCM of 313, 407, 418, 304, 589 is 1200532784.
2. How to calculate the LCM of 313, 407, 418, 304, 589?
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 313, 407, 418, 304, 589.
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}.