LCM of 522, 720, 726, 415, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 522, 720, 726, 415, 312 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 522, 720, 726, 415, 312. So, keep reading to learn more.
Given numbers are 522,720,726,415,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 522,720,726,415,312 is 2726071920.
Find LCM of 522,720,726,415,312 with Prime Factorization
| 2 | 522, 720, 726, 415, 312 |
| 2 | 261, 360, 363, 415, 156 |
| 2 | 261, 180, 363, 415, 78 |
| 3 | 261, 90, 363, 415, 39 |
| 3 | 87, 30, 121, 415, 13 |
| 5 | 29, 10, 121, 415, 13 |
| 29, 2, 121, 83, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 29 x 2 x 121 x 83 x 13 = 2726071920
Therefore, the lowest common multiple of 522,720,726,415,312 is 2726071920.
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.
522 x 720 x 726 x 415 x 312 = 35329892083200
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.
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
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
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
415 : 1, 5, 83, 415
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,720,726,415,312, is 1.
Now, the common factors can be found like this.
522:2x 3x 3x 29
720:2x 2x 2x 2x 3x 3x 5
726:2x 3x 11x 11
415:5x 83
312:2x 2x 2x 3x 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 5 = 12960
Therefore, the value for common factors is 12960.
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 = 35329892083200/(1x12960)
LCM = 35329892083200/12960
LCM = 2726071920
Thus, we can understand that the LCM of 522,720,726,415,312 is 2726071920.
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FAQs on LCM of 522, 720, 726, 415, 312
1. What is the LCM of 522, 720, 726, 415, 312?
Answer: LCM of 522, 720, 726, 415, 312 is 2726071920.
2. How to calculate the LCM of 522, 720, 726, 415, 312?
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 522, 720, 726, 415, 312.
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}.