LCM of 339, 338, 705, 846, 424
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 338, 705, 846, 424 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, 338, 705, 846, 424. So, keep reading to learn more.
Given numbers are 339,338,705,846,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,338,705,846,424 is 17125425720.
Find LCM of 339,338,705,846,424 with Prime Factorization
| 2 | 339, 338, 705, 846, 424 |
| 3 | 339, 169, 705, 423, 212 |
| 47 | 113, 169, 235, 141, 212 |
| 113, 169, 5, 3, 212 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 113 x 169 x 5 x 3 x 212 = 17125425720
Therefore, the lowest common multiple of 339,338,705,846,424 is 17125425720.
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 338 x 705 x 846 x 424 = 28976220318240
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
338 : 1, 2, 13, 26, 169, 338
705 : 1, 3, 5, 15, 47, 141, 235, 705
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,338,705,846,424, is 1.
Now, the common factors can be found like this.
339:3x 113
338:2x 13x 13
705:3x 5x 47
846:2x 3x 3x 47
424:2x 2x 2x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 47 = 1692
Therefore, the value for common factors is 1692.
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 = 28976220318240/(1x1692)
LCM = 28976220318240/1692
LCM = 17125425720
Thus, we can understand that the LCM of 339,338,705,846,424 is 17125425720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 339, 338, 705, 846, 424
1. What is the LCM of 339, 338, 705, 846, 424?
Answer: LCM of 339, 338, 705, 846, 424 is 17125425720.
2. How to calculate the LCM of 339, 338, 705, 846, 424?
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, 338, 705, 846, 424.
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}.