LCM of 981, 540, 527, 109, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 540, 527, 109, 682 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, 540, 527, 109, 682. So, keep reading to learn more.
Given numbers are 981,540,527,109,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,540,527,109,682 is 341211420.
Find LCM of 981,540,527,109,682 with Prime Factorization
| 2 | 981, 540, 527, 109, 682 |
| 3 | 981, 270, 527, 109, 341 |
| 3 | 327, 90, 527, 109, 341 |
| 31 | 109, 30, 527, 109, 341 |
| 109 | 109, 30, 17, 109, 11 |
| 1, 30, 17, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 109 x 1 x 30 x 17 x 1 x 11 = 341211420
Therefore, the lowest common multiple of 981,540,527,109,682 is 341211420.
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 540 x 527 x 109 x 682 = 20753160987240
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
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
527 : 1, 17, 31, 527
109 : 1, 109
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,540,527,109,682, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
540:2x 2x 3x 3x 3x 5
527:17x 31
109:109
682:2x 11x 31
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 3x 31x 109 = 60822
Therefore, the value for common factors is 60822.
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 = 20753160987240/(1x60822)
LCM = 20753160987240/60822
LCM = 341211420
Thus, we can understand that the LCM of 981,540,527,109,682 is 341211420.
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FAQs on LCM of 981, 540, 527, 109, 682
1. What is the LCM of 981, 540, 527, 109, 682?
Answer: LCM of 981, 540, 527, 109, 682 is 341211420.
2. How to calculate the LCM of 981, 540, 527, 109, 682?
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, 540, 527, 109, 682.
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}.