LCM of 718, 981, 317, 198, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 718, 981, 317, 198, 657 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 718, 981, 317, 198, 657. So, keep reading to learn more.
Given numbers are 718,981,317,198,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 718,981,317,198,657 is 179295033258.
Find LCM of 718,981,317,198,657 with Prime Factorization
| 2 | 718, 981, 317, 198, 657 |
| 3 | 359, 981, 317, 99, 657 |
| 3 | 359, 327, 317, 33, 219 |
| 359, 109, 317, 11, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 359 x 109 x 317 x 11 x 73 = 179295033258
Therefore, the lowest common multiple of 718,981,317,198,657 is 179295033258.
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.
718 x 981 x 317 x 198 x 657 = 29045795387796
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.
718 : 1, 2, 359, 718
981 : 1, 3, 9, 109, 327, 981
317 : 1, 317
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,981,317,198,657, is 1.
Now, the common factors can be found like this.
718:2x 359
981:3x 3x 109
317:317
198:2x 3x 3x 11
657:3x 3x 73
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 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 29045795387796/(1x162)
LCM = 29045795387796/162
LCM = 179295033258
Thus, we can understand that the LCM of 718,981,317,198,657 is 179295033258.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 718, 981, 317, 198, 657
1. What is the LCM of 718, 981, 317, 198, 657?
Answer: LCM of 718, 981, 317, 198, 657 is 179295033258.
2. How to calculate the LCM of 718, 981, 317, 198, 657?
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 718, 981, 317, 198, 657.
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}.