LCM of 981, 596, 436, 217, 218
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 596, 436, 217, 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 981, 596, 436, 217, 218. So, keep reading to learn more.
Given numbers are 981,596,436,217,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,596,436,217,218 is 126874692.
Find LCM of 981,596,436,217,218 with Prime Factorization
| 2 | 981, 596, 436, 217, 218 |
| 2 | 981, 298, 218, 217, 109 |
| 109 | 981, 149, 109, 217, 109 |
| 9, 149, 1, 217, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 109 x 9 x 149 x 1 x 217 x 1 = 126874692
Therefore, the lowest common multiple of 981,596,436,217,218 is 126874692.
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 596 x 436 x 217 x 218 = 12059185725216
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
596 : 1, 2, 4, 149, 298, 596
436 : 1, 2, 4, 109, 218, 436
217 : 1, 7, 31, 217
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,596,436,217,218, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
596:2x 2x 149
436:2x 2x 109
217:7x 31
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 109x 109 = 95048
Therefore, the value for common factors is 95048.
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 = 12059185725216/(1x95048)
LCM = 12059185725216/95048
LCM = 126874692
Thus, we can understand that the LCM of 981,596,436,217,218 is 126874692.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 981, 596, 436, 217, 218
1. What is the LCM of 981, 596, 436, 217, 218?
Answer: LCM of 981, 596, 436, 217, 218 is 126874692.
2. How to calculate the LCM of 981, 596, 436, 217, 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 981, 596, 436, 217, 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}.