LCM of 676, 208, 324, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 208, 324, 720 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 676, 208, 324, 720. So, keep reading to learn more.
Given numbers are 676,208,324,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,208,324,720 is 1095120.
Find LCM of 676,208,324,720 with Prime Factorization
| 2 | 676, 208, 324, 720 |
| 2 | 338, 104, 162, 360 |
| 2 | 169, 52, 81, 180 |
| 2 | 169, 26, 81, 90 |
| 3 | 169, 13, 81, 45 |
| 3 | 169, 13, 27, 15 |
| 13 | 169, 13, 9, 5 |
| 1, 13, 9, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 13 x 1 x 13 x 9 x 5 = 1095120
Therefore, the lowest common multiple of 676,208,324,720 is 1095120.
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.
676 x 208 x 324 x 720 = 32801034240
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,208,324,720, is 4.
Now, the common factors can be found like this.
676:2x 2x 13x 13
208:2x 2x 2x 2x 13
324:2x 2x 3x 3x 3x 3
720:2x 2x 2x 2x 3x 3x 5
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 2x 3x 3x 13 = 7488
Therefore, the value for common factors is 7488.
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 = 32801034240/(4x7488)
LCM = 32801034240/29952
LCM = 1095120
Thus, we can understand that the LCM of 676,208,324,720 is 1095120.
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FAQs on LCM of 676, 208, 324, 720
1. What is the LCM of 676, 208, 324, 720?
Answer: LCM of 676, 208, 324, 720 is 1095120.
2. How to calculate the LCM of 676, 208, 324, 720?
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 676, 208, 324, 720.
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}.