LCM of 577, 720, 495, 330, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 577, 720, 495, 330, 855 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 577, 720, 495, 330, 855. So, keep reading to learn more.
Given numbers are 577,720,495,330,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,720,495,330,855 is 86826960.
Find LCM of 577,720,495,330,855 with Prime Factorization
| 2 | 577, 720, 495, 330, 855 |
| 3 | 577, 360, 495, 165, 855 |
| 3 | 577, 120, 55, 165, 285 |
| 5 | 577, 40, 55, 55, 95 |
| 11 | 577, 8, 11, 11, 19 |
| 577, 8, 1, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 577 x 8 x 1 x 1 x 19 = 86826960
Therefore, the lowest common multiple of 577,720,495,330,855 is 86826960.
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.
577 x 720 x 495 x 330 x 855 = 58022116020000
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.
577 : 1, 577
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
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,720,495,330,855, is 1.
Now, the common factors can be found like this.
577:577
720:2x 2x 2x 2x 3x 3x 5
495:3x 3x 5x 11
330:2x 3x 5x 11
855:3x 3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 5x 5x 5x 11 = 668250
Therefore, the value for common factors is 668250.
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 = 58022116020000/(1x668250)
LCM = 58022116020000/668250
LCM = 86826960
Thus, we can understand that the LCM of 577,720,495,330,855 is 86826960.
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FAQs on LCM of 577, 720, 495, 330, 855
1. What is the LCM of 577, 720, 495, 330, 855?
Answer: LCM of 577, 720, 495, 330, 855 is 86826960.
2. How to calculate the LCM of 577, 720, 495, 330, 855?
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 577, 720, 495, 330, 855.
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}.