LCM of 526, 580, 306, 261, 610
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 526, 580, 306, 261, 610 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 526, 580, 306, 261, 610. So, keep reading to learn more.
Given numbers are 526,580,306,261,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,580,306,261,610 is 1423655820.
Find LCM of 526,580,306,261,610 with Prime Factorization
| 2 | 526, 580, 306, 261, 610 |
| 3 | 263, 290, 153, 261, 305 |
| 3 | 263, 290, 51, 87, 305 |
| 5 | 263, 290, 17, 29, 305 |
| 29 | 263, 58, 17, 29, 61 |
| 263, 2, 17, 1, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 29 x 263 x 2 x 17 x 1 x 61 = 1423655820
Therefore, the lowest common multiple of 526,580,306,261,610 is 1423655820.
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.
526 x 580 x 306 x 261 x 610 = 14862966760800
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.
526 : 1, 2, 263, 526
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
261 : 1, 3, 9, 29, 87, 261
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,580,306,261,610, is 1.
Now, the common factors can be found like this.
526:2x 263
580:2x 2x 5x 29
306:2x 3x 3x 17
261:3x 3x 29
610:2x 5x 61
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 5x 29 = 10440
Therefore, the value for common factors is 10440.
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 = 14862966760800/(1x10440)
LCM = 14862966760800/10440
LCM = 1423655820
Thus, we can understand that the LCM of 526,580,306,261,610 is 1423655820.
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FAQs on LCM of 526, 580, 306, 261, 610
1. What is the LCM of 526, 580, 306, 261, 610?
Answer: LCM of 526, 580, 306, 261, 610 is 1423655820.
2. How to calculate the LCM of 526, 580, 306, 261, 610?
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 526, 580, 306, 261, 610.
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}.