LCM of 259, 361, 324, 120, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 259, 361, 324, 120, 306 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 259, 361, 324, 120, 306. So, keep reading to learn more.
Given numbers are 259,361,324,120,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,361,324,120,306 is 5149924920.
Find LCM of 259,361,324,120,306 with Prime Factorization
| 2 | 259, 361, 324, 120, 306 |
| 2 | 259, 361, 162, 60, 153 |
| 3 | 259, 361, 81, 30, 153 |
| 3 | 259, 361, 27, 10, 51 |
| 259, 361, 9, 10, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 259 x 361 x 9 x 10 x 17 = 5149924920
Therefore, the lowest common multiple of 259,361,324,120,306 is 5149924920.
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.
259 x 361 x 324 x 120 x 306 = 1112383782720
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.
259 : 1, 7, 37, 259
361 : 1, 19, 361
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,361,324,120,306, is 1.
Now, the common factors can be found like this.
259:7x 37
361:19x 19
324:2x 2x 3x 3x 3x 3
120:2x 2x 2x 3x 5
306:2x 3x 3x 17
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 3 = 216
Therefore, the value for common factors is 216.
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 = 1112383782720/(1x216)
LCM = 1112383782720/216
LCM = 5149924920
Thus, we can understand that the LCM of 259,361,324,120,306 is 5149924920.
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FAQs on LCM of 259, 361, 324, 120, 306
1. What is the LCM of 259, 361, 324, 120, 306?
Answer: LCM of 259, 361, 324, 120, 306 is 5149924920.
2. How to calculate the LCM of 259, 361, 324, 120, 306?
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 259, 361, 324, 120, 306.
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}.