LCM of 369, 675, 205, 756, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 675, 205, 756, 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 369, 675, 205, 756, 720. So, keep reading to learn more.
Given numbers are 369,675,205,756,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,675,205,756,720 is 3099600.
Find LCM of 369,675,205,756,720 with Prime Factorization
| 2 | 369, 675, 205, 756, 720 |
| 2 | 369, 675, 205, 378, 360 |
| 3 | 369, 675, 205, 189, 180 |
| 3 | 123, 225, 205, 63, 60 |
| 3 | 41, 75, 205, 21, 20 |
| 5 | 41, 25, 205, 7, 20 |
| 41 | 41, 5, 41, 7, 4 |
| 1, 5, 1, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 41 x 1 x 5 x 1 x 7 x 4 = 3099600
Therefore, the lowest common multiple of 369,675,205,756,720 is 3099600.
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.
369 x 675 x 205 x 756 x 720 = 27793183320000
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.
369 : 1, 3, 9, 41, 123, 369
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
205 : 1, 5, 41, 205
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,675,205,756,720, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
675:3x 3x 3x 5x 5
205:5x 41
756:2x 2x 3x 3x 3x 7
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 3x 3x 3x 3x 3x 3x 3x 5x 5x 41 = 8966700
Therefore, the value for common factors is 8966700.
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 = 27793183320000/(1x8966700)
LCM = 27793183320000/8966700
LCM = 3099600
Thus, we can understand that the LCM of 369,675,205,756,720 is 3099600.
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FAQs on LCM of 369, 675, 205, 756, 720
1. What is the LCM of 369, 675, 205, 756, 720?
Answer: LCM of 369, 675, 205, 756, 720 is 3099600.
2. How to calculate the LCM of 369, 675, 205, 756, 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 369, 675, 205, 756, 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}.