LCM of 981, 514, 343, 588, 595
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 514, 343, 588, 595 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 981, 514, 343, 588, 595. So, keep reading to learn more.
Given numbers are 981,514,343,588,595
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,514,343,588,595 is 29401884540.
Find LCM of 981,514,343,588,595 with Prime Factorization
| 2 | 981, 514, 343, 588, 595 |
| 3 | 981, 257, 343, 294, 595 |
| 7 | 327, 257, 343, 98, 595 |
| 7 | 327, 257, 49, 14, 85 |
| 327, 257, 7, 2, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 327 x 257 x 7 x 2 x 85 = 29401884540
Therefore, the lowest common multiple of 981,514,343,588,595 is 29401884540.
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.
981 x 514 x 343 x 588 x 595 = 60509078383320
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.
981 : 1, 3, 9, 109, 327, 981
514 : 1, 2, 257, 514
343 : 1, 7, 49, 343
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
595 : 1, 5, 7, 17, 35, 85, 119, 595
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,514,343,588,595, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
514:2x 257
343:7x 7x 7
588:2x 2x 3x 7x 7
595:5x 7x 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 3x 7x 7x 7 = 2058
Therefore, the value for common factors is 2058.
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 = 60509078383320/(1x2058)
LCM = 60509078383320/2058
LCM = 29401884540
Thus, we can understand that the LCM of 981,514,343,588,595 is 29401884540.
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FAQs on LCM of 981, 514, 343, 588, 595
1. What is the LCM of 981, 514, 343, 588, 595?
Answer: LCM of 981, 514, 343, 588, 595 is 29401884540.
2. How to calculate the LCM of 981, 514, 343, 588, 595?
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 981, 514, 343, 588, 595.
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}.