LCM of 339, 676, 736, 338, 249
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 676, 736, 338, 249 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, 676, 736, 338, 249. So, keep reading to learn more.
Given numbers are 339,676,736,338,249
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,676,736,338,249 is 3499792608.
Find LCM of 339,676,736,338,249 with Prime Factorization
| 2 | 339, 676, 736, 338, 249 |
| 2 | 339, 338, 368, 169, 249 |
| 3 | 339, 169, 184, 169, 249 |
| 13 | 113, 169, 184, 169, 83 |
| 13 | 113, 13, 184, 13, 83 |
| 113, 1, 184, 1, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 13 x 113 x 1 x 184 x 1 x 83 = 3499792608
Therefore, the lowest common multiple of 339,676,736,338,249 is 3499792608.
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 676 x 736 x 338 x 249 = 14195158818048
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
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
338 : 1, 2, 13, 26, 169, 338
249 : 1, 3, 83, 249
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,676,736,338,249, is 1.
Now, the common factors can be found like this.
339:3x 113
676:2x 2x 13x 13
736:2x 2x 2x 2x 2x 23
338:2x 13x 13
249:3x 83
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 2x 3x 13x 13 = 4056
Therefore, the value for common factors is 4056.
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 = 14195158818048/(1x4056)
LCM = 14195158818048/4056
LCM = 3499792608
Thus, we can understand that the LCM of 339,676,736,338,249 is 3499792608.
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FAQs on LCM of 339, 676, 736, 338, 249
1. What is the LCM of 339, 676, 736, 338, 249?
Answer: LCM of 339, 676, 736, 338, 249 is 3499792608.
2. How to calculate the LCM of 339, 676, 736, 338, 249?
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, 676, 736, 338, 249.
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}.