LCM of 339, 867, 955, 371, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 867, 955, 371, 459 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 339, 867, 955, 371, 459. So, keep reading to learn more.
Given numbers are 339,867,955,371,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,867,955,371,459 is 312404536395.
Find LCM of 339,867,955,371,459 with Prime Factorization
| 3 | 339, 867, 955, 371, 459 |
| 17 | 113, 289, 955, 371, 153 |
| 113, 17, 955, 371, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 113 x 17 x 955 x 371 x 9 = 312404536395
Therefore, the lowest common multiple of 339,867,955,371,459 is 312404536395.
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.
339 x 867 x 955 x 371 x 459 = 47797894068435
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.
339 : 1, 3, 113, 339
867 : 1, 3, 17, 51, 289, 867
955 : 1, 5, 191, 955
371 : 1, 7, 53, 371
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,867,955,371,459, is 1.
Now, the common factors can be found like this.
339:3x 113
867:3x 17x 17
955:5x 191
371:7x 53
459:3x 3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17 = 153
Therefore, the value for common factors is 153.
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 = 47797894068435/(1x153)
LCM = 47797894068435/153
LCM = 312404536395
Thus, we can understand that the LCM of 339,867,955,371,459 is 312404536395.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 339, 867, 955, 371, 459
1. What is the LCM of 339, 867, 955, 371, 459?
Answer: LCM of 339, 867, 955, 371, 459 is 312404536395.
2. How to calculate the LCM of 339, 867, 955, 371, 459?
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 339, 867, 955, 371, 459.
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}.