LCM of 660, 495, 720, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 660, 495, 720, 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 660, 495, 720, 720. So, keep reading to learn more.
Given numbers are 660,495,720,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,495,720,720 is 7920.
Find LCM of 660,495,720,720 with Prime Factorization
| 2 | 660, 495, 720, 720 |
| 2 | 330, 495, 360, 360 |
| 2 | 165, 495, 180, 180 |
| 2 | 165, 495, 90, 90 |
| 3 | 165, 495, 45, 45 |
| 3 | 55, 165, 15, 15 |
| 5 | 55, 55, 5, 5 |
| 11 | 11, 11, 1, 1 |
| 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 1 x 1 x 1 x 1 = 7920
Therefore, the lowest common multiple of 660,495,720,720 is 7920.
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.
660 x 495 x 720 x 720 = 169361280000
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
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
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
15 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,495,720,720, is 15.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
495:3x 3x 5x 11
720:2x 2x 2x 2x 3x 3x 5
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 3x 3x 5x 5x 11 = 1425600
Therefore, the value for common factors is 1425600.
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 = 169361280000/(15x1425600)
LCM = 169361280000/21384000
LCM = 7920
Thus, we can understand that the LCM of 660,495,720,720 is 7920.
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FAQs on LCM of 660, 495, 720, 720
1. What is the LCM of 660, 495, 720, 720?
Answer: LCM of 660, 495, 720, 720 is 7920.
2. How to calculate the LCM of 660, 495, 720, 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 660, 495, 720, 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}.