LCM of 339, 722, 837, 105, 890
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 722, 837, 105, 890 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, 722, 837, 105, 890. So, keep reading to learn more.
Given numbers are 339,722,837,105,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,722,837,105,890 is 212715506430.
Find LCM of 339,722,837,105,890 with Prime Factorization
| 2 | 339, 722, 837, 105, 890 |
| 3 | 339, 361, 837, 105, 445 |
| 5 | 113, 361, 279, 35, 445 |
| 113, 361, 279, 7, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 113 x 361 x 279 x 7 x 89 = 212715506430
Therefore, the lowest common multiple of 339,722,837,105,890 is 212715506430.
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 722 x 837 x 105 x 890 = 19144395578700
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
722 : 1, 2, 19, 38, 361, 722
837 : 1, 3, 9, 27, 31, 93, 279, 837
105 : 1, 3, 5, 7, 15, 21, 35, 105
890 : 1, 2, 5, 10, 89, 178, 445, 890
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,722,837,105,890, is 1.
Now, the common factors can be found like this.
339:3x 113
722:2x 19x 19
837:3x 3x 3x 31
105:3x 5x 7
890:2x 5x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 19144395578700/(1x90)
LCM = 19144395578700/90
LCM = 212715506430
Thus, we can understand that the LCM of 339,722,837,105,890 is 212715506430.
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, 722, 837, 105, 890
1. What is the LCM of 339, 722, 837, 105, 890?
Answer: LCM of 339, 722, 837, 105, 890 is 212715506430.
2. How to calculate the LCM of 339, 722, 837, 105, 890?
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, 722, 837, 105, 890.
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}.