LCM of 614, 135, 514, 970, 582
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 135, 514, 970, 582 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 614, 135, 514, 970, 582. So, keep reading to learn more.
Given numbers are 614,135,514,970,582
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,135,514,970,582 is 2066364810.
Find LCM of 614,135,514,970,582 with Prime Factorization
| 2 | 614, 135, 514, 970, 582 |
| 3 | 307, 135, 257, 485, 291 |
| 5 | 307, 45, 257, 485, 97 |
| 97 | 307, 9, 257, 97, 97 |
| 307, 9, 257, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 97 x 307 x 9 x 257 x 1 x 1 = 2066364810
Therefore, the lowest common multiple of 614,135,514,970,582 is 2066364810.
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.
614 x 135 x 514 x 970 x 582 = 24052486388400
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.
614 : 1, 2, 307, 614
135 : 1, 3, 5, 9, 15, 27, 45, 135
514 : 1, 2, 257, 514
970 : 1, 2, 5, 10, 97, 194, 485, 970
582 : 1, 2, 3, 6, 97, 194, 291, 582
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,135,514,970,582, is 1.
Now, the common factors can be found like this.
614:2x 307
135:3x 3x 3x 5
514:2x 257
970:2x 5x 97
582:2x 3x 97
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 5x 97 = 11640
Therefore, the value for common factors is 11640.
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 = 24052486388400/(1x11640)
LCM = 24052486388400/11640
LCM = 2066364810
Thus, we can understand that the LCM of 614,135,514,970,582 is 2066364810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 614, 135, 514, 970, 582
1. What is the LCM of 614, 135, 514, 970, 582?
Answer: LCM of 614, 135, 514, 970, 582 is 2066364810.
2. How to calculate the LCM of 614, 135, 514, 970, 582?
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 614, 135, 514, 970, 582.
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}.