LCM of 317, 835, 499, 499, 835
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 317, 835, 499, 499, 835 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 317, 835, 499, 499, 835. So, keep reading to learn more.
Given numbers are 317,835,499,499,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,835,499,499,835 is 132082805.
Find LCM of 317,835,499,499,835 with Prime Factorization
| 5 | 317, 835, 499, 499, 835 |
| 167 | 317, 167, 499, 499, 167 |
| 499 | 317, 1, 499, 499, 1 |
| 317, 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 167 x 499 x 317 x 1 x 1 x 1 x 1 = 132082805
Therefore, the lowest common multiple of 317,835,499,499,835 is 132082805.
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.
317 x 835 x 499 x 499 x 835 = 55034281945325
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.
317 : 1, 317
835 : 1, 5, 167, 835
499 : 1, 499
499 : 1, 499
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,835,499,499,835, is 1.
Now, the common factors can be found like this.
317:317
835:5x 167
499:499
499:499
835:5x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 167x 499 = 416665
Therefore, the value for common factors is 416665.
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 = 55034281945325/(1x416665)
LCM = 55034281945325/416665
LCM = 132082805
Thus, we can understand that the LCM of 317,835,499,499,835 is 132082805.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 317, 835, 499, 499, 835
1. What is the LCM of 317, 835, 499, 499, 835?
Answer: LCM of 317, 835, 499, 499, 835 is 132082805.
2. How to calculate the LCM of 317, 835, 499, 499, 835?
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 317, 835, 499, 499, 835.
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}.