LCM of 724, 408, 297, 360, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 408, 297, 360, 819 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 724, 408, 297, 360, 819. So, keep reading to learn more.
Given numbers are 724,408,297,360,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,408,297,360,819 is 3326483160.
Find LCM of 724,408,297,360,819 with Prime Factorization
| 2 | 724, 408, 297, 360, 819 |
| 2 | 362, 204, 297, 180, 819 |
| 2 | 181, 102, 297, 90, 819 |
| 3 | 181, 51, 297, 45, 819 |
| 3 | 181, 17, 99, 15, 273 |
| 181, 17, 33, 5, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 181 x 17 x 33 x 5 x 91 = 3326483160
Therefore, the lowest common multiple of 724,408,297,360,819 is 3326483160.
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.
724 x 408 x 297 x 360 x 819 = 25866733052160
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.
724 : 1, 2, 4, 181, 362, 724
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
297 : 1, 3, 9, 11, 27, 33, 99, 297
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,408,297,360,819, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
408:2x 2x 2x 3x 17
297:3x 3x 3x 11
360:2x 2x 2x 3x 3x 5
819:3x 3x 7x 13
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 2x 2x 3x 3x 3x 3x 3 = 7776
Therefore, the value for common factors is 7776.
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 = 25866733052160/(1x7776)
LCM = 25866733052160/7776
LCM = 3326483160
Thus, we can understand that the LCM of 724,408,297,360,819 is 3326483160.
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FAQs on LCM of 724, 408, 297, 360, 819
1. What is the LCM of 724, 408, 297, 360, 819?
Answer: LCM of 724, 408, 297, 360, 819 is 3326483160.
2. How to calculate the LCM of 724, 408, 297, 360, 819?
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 724, 408, 297, 360, 819.
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}.