LCM of 658, 138, 460, 981, 218
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 138, 460, 981, 218 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 658, 138, 460, 981, 218. So, keep reading to learn more.
Given numbers are 658,138,460,981,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,138,460,981,218 is 148464540.
Find LCM of 658,138,460,981,218 with Prime Factorization
| 2 | 658, 138, 460, 981, 218 |
| 3 | 329, 69, 230, 981, 109 |
| 23 | 329, 23, 230, 327, 109 |
| 109 | 329, 1, 10, 327, 109 |
| 329, 1, 10, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 109 x 329 x 1 x 10 x 3 x 1 = 148464540
Therefore, the lowest common multiple of 658,138,460,981,218 is 148464540.
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.
658 x 138 x 460 x 981 x 218 = 8932814442720
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
138 : 1, 2, 3, 6, 23, 46, 69, 138
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
981 : 1, 3, 9, 109, 327, 981
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,138,460,981,218, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
138:2x 3x 23
460:2x 2x 5x 23
981:3x 3x 109
218:2x 109
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 23x 109 = 60168
Therefore, the value for common factors is 60168.
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 = 8932814442720/(1x60168)
LCM = 8932814442720/60168
LCM = 148464540
Thus, we can understand that the LCM of 658,138,460,981,218 is 148464540.
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FAQs on LCM of 658, 138, 460, 981, 218
1. What is the LCM of 658, 138, 460, 981, 218?
Answer: LCM of 658, 138, 460, 981, 218 is 148464540.
2. How to calculate the LCM of 658, 138, 460, 981, 218?
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 658, 138, 460, 981, 218.
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}.