LCM of 505, 860, 884, 338, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 860, 884, 338, 560 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 505, 860, 884, 338, 560. So, keep reading to learn more.
Given numbers are 505,860,884,338,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,860,884,338,560 is 6987365840.
Find LCM of 505,860,884,338,560 with Prime Factorization
| 2 | 505, 860, 884, 338, 560 |
| 2 | 505, 430, 442, 169, 280 |
| 5 | 505, 215, 221, 169, 140 |
| 13 | 101, 43, 221, 169, 28 |
| 101, 43, 17, 13, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 101 x 43 x 17 x 13 x 28 = 6987365840
Therefore, the lowest common multiple of 505,860,884,338,560 is 6987365840.
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.
505 x 860 x 884 x 338 x 560 = 72668604736000
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.
505 : 1, 5, 101, 505
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
338 : 1, 2, 13, 26, 169, 338
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,860,884,338,560, is 1.
Now, the common factors can be found like this.
505:5x 101
860:2x 2x 5x 43
884:2x 2x 13x 17
338:2x 13x 13
560:2x 2x 2x 2x 5x 7
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 5x 5x 13 = 10400
Therefore, the value for common factors is 10400.
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 = 72668604736000/(1x10400)
LCM = 72668604736000/10400
LCM = 6987365840
Thus, we can understand that the LCM of 505,860,884,338,560 is 6987365840.
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FAQs on LCM of 505, 860, 884, 338, 560
1. What is the LCM of 505, 860, 884, 338, 560?
Answer: LCM of 505, 860, 884, 338, 560 is 6987365840.
2. How to calculate the LCM of 505, 860, 884, 338, 560?
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 505, 860, 884, 338, 560.
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}.