LCM of 303, 720, 522, 510, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 720, 522, 510, 518 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 303, 720, 522, 510, 518. So, keep reading to learn more.
Given numbers are 303,720,522,510,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,720,522,510,518 is 9285398640.
Find LCM of 303,720,522,510,518 with Prime Factorization
| 2 | 303, 720, 522, 510, 518 |
| 3 | 303, 360, 261, 255, 259 |
| 3 | 101, 120, 87, 85, 259 |
| 5 | 101, 40, 29, 85, 259 |
| 101, 8, 29, 17, 259 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 101 x 8 x 29 x 17 x 259 = 9285398640
Therefore, the lowest common multiple of 303,720,522,510,518 is 9285398640.
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.
303 x 720 x 522 x 510 x 518 = 30084691593600
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.
303 : 1, 3, 101, 303
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
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,720,522,510,518, is 1.
Now, the common factors can be found like this.
303:3x 101
720:2x 2x 2x 2x 3x 3x 5
522:2x 3x 3x 29
510:2x 3x 5x 17
518:2x 7x 37
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 3x 3x 3x 3x 5 = 3240
Therefore, the value for common factors is 3240.
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 = 30084691593600/(1x3240)
LCM = 30084691593600/3240
LCM = 9285398640
Thus, we can understand that the LCM of 303,720,522,510,518 is 9285398640.
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FAQs on LCM of 303, 720, 522, 510, 518
1. What is the LCM of 303, 720, 522, 510, 518?
Answer: LCM of 303, 720, 522, 510, 518 is 9285398640.
2. How to calculate the LCM of 303, 720, 522, 510, 518?
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 303, 720, 522, 510, 518.
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}.