LCM of 487, 935, 220, 306, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 935, 220, 306, 517 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 487, 935, 220, 306, 517. So, keep reading to learn more.
Given numbers are 487,935,220,306,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,935,220,306,517 is 770443740.
Find LCM of 487,935,220,306,517 with Prime Factorization
| 2 | 487, 935, 220, 306, 517 |
| 5 | 487, 935, 110, 153, 517 |
| 11 | 487, 187, 22, 153, 517 |
| 17 | 487, 17, 2, 153, 47 |
| 487, 1, 2, 9, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 487 x 1 x 2 x 9 x 47 = 770443740
Therefore, the lowest common multiple of 487,935,220,306,517 is 770443740.
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.
487 x 935 x 220 x 306 x 517 = 15848027731800
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.
487 : 1, 487
935 : 1, 5, 11, 17, 55, 85, 187, 935
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,935,220,306,517, is 1.
Now, the common factors can be found like this.
487:487
935:5x 11x 17
220:2x 2x 5x 11
306:2x 3x 3x 17
517:11x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 11x 17 = 20570
Therefore, the value for common factors is 20570.
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 = 15848027731800/(1x20570)
LCM = 15848027731800/20570
LCM = 770443740
Thus, we can understand that the LCM of 487,935,220,306,517 is 770443740.
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FAQs on LCM of 487, 935, 220, 306, 517
1. What is the LCM of 487, 935, 220, 306, 517?
Answer: LCM of 487, 935, 220, 306, 517 is 770443740.
2. How to calculate the LCM of 487, 935, 220, 306, 517?
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 487, 935, 220, 306, 517.
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}.