LCM of 196, 656, 917, 939, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 196, 656, 917, 939, 864 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 196, 656, 917, 939, 864. So, keep reading to learn more.
Given numbers are 196,656,917,939,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 196,656,917,939,864 is 71172023328.
Find LCM of 196,656,917,939,864 with Prime Factorization
| 2 | 196, 656, 917, 939, 864 |
| 2 | 98, 328, 917, 939, 432 |
| 2 | 49, 164, 917, 939, 216 |
| 2 | 49, 82, 917, 939, 108 |
| 3 | 49, 41, 917, 939, 54 |
| 7 | 49, 41, 917, 313, 18 |
| 7, 41, 131, 313, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 7 x 41 x 131 x 313 x 18 = 71172023328
Therefore, the lowest common multiple of 196,656,917,939,864 is 71172023328.
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.
196 x 656 x 917 x 939 x 864 = 95655199352832
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.
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
917 : 1, 7, 131, 917
939 : 1, 3, 313, 939
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 196,656,917,939,864, is 1.
Now, the common factors can be found like this.
196:2x 2x 7x 7
656:2x 2x 2x 2x 41
917:7x 131
939:3x 313
864:2x 2x 2x 2x 2x 3x 3x 3
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 2x 2x 2x 3x 7 = 1344
Therefore, the value for common factors is 1344.
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 = 95655199352832/(1x1344)
LCM = 95655199352832/1344
LCM = 71172023328
Thus, we can understand that the LCM of 196,656,917,939,864 is 71172023328.
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FAQs on LCM of 196, 656, 917, 939, 864
1. What is the LCM of 196, 656, 917, 939, 864?
Answer: LCM of 196, 656, 917, 939, 864 is 71172023328.
2. How to calculate the LCM of 196, 656, 917, 939, 864?
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 196, 656, 917, 939, 864.
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}.