LCM of 740, 285, 114, 486, 259
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 285, 114, 486, 259 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 740, 285, 114, 486, 259. So, keep reading to learn more.
Given numbers are 740,285,114,486,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,285,114,486,259 is 23916060.
Find LCM of 740,285,114,486,259 with Prime Factorization
| 2 | 740, 285, 114, 486, 259 |
| 3 | 370, 285, 57, 243, 259 |
| 5 | 370, 95, 19, 81, 259 |
| 19 | 74, 19, 19, 81, 259 |
| 37 | 74, 1, 1, 81, 259 |
| 2, 1, 1, 81, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 37 x 2 x 1 x 1 x 81 x 7 = 23916060
Therefore, the lowest common multiple of 740,285,114,486,259 is 23916060.
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.
740 x 285 x 114 x 486 x 259 = 3026338232400
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
285 : 1, 3, 5, 15, 19, 57, 95, 285
114 : 1, 2, 3, 6, 19, 38, 57, 114
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,285,114,486,259, is 1.
Now, the common factors can be found like this.
740:2x 2x 5x 37
285:3x 5x 19
114:2x 3x 19
486:2x 3x 3x 3x 3x 3
259:7x 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 3x 3x 5x 19x 37 = 126540
Therefore, the value for common factors is 126540.
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 = 3026338232400/(1x126540)
LCM = 3026338232400/126540
LCM = 23916060
Thus, we can understand that the LCM of 740,285,114,486,259 is 23916060.
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FAQs on LCM of 740, 285, 114, 486, 259
1. What is the LCM of 740, 285, 114, 486, 259?
Answer: LCM of 740, 285, 114, 486, 259 is 23916060.
2. How to calculate the LCM of 740, 285, 114, 486, 259?
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 740, 285, 114, 486, 259.
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}.