LCM of 867, 326, 122, 972, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 326, 122, 972, 204 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 867, 326, 122, 972, 204. So, keep reading to learn more.
Given numbers are 867,326,122,972,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,326,122,972,204 is 2793068244.
Find LCM of 867,326,122,972,204 with Prime Factorization
| 2 | 867, 326, 122, 972, 204 |
| 2 | 867, 163, 61, 486, 102 |
| 3 | 867, 163, 61, 243, 51 |
| 17 | 289, 163, 61, 81, 17 |
| 1, 163, 61, 81, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 1 x 163 x 61 x 81 x 17 = 2793068244
Therefore, the lowest common multiple of 867,326,122,972,204 is 2793068244.
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.
867 x 326 x 122 x 972 x 204 = 6837431061312
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.
867 : 1, 3, 17, 51, 289, 867
326 : 1, 2, 163, 326
122 : 1, 2, 61, 122
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,326,122,972,204, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
326:2x 163
122:2x 61
972:2x 2x 3x 3x 3x 3x 3
204:2x 2x 3x 17
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 3x 3x 17 = 2448
Therefore, the value for common factors is 2448.
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 = 6837431061312/(1x2448)
LCM = 6837431061312/2448
LCM = 2793068244
Thus, we can understand that the LCM of 867,326,122,972,204 is 2793068244.
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FAQs on LCM of 867, 326, 122, 972, 204
1. What is the LCM of 867, 326, 122, 972, 204?
Answer: LCM of 867, 326, 122, 972, 204 is 2793068244.
2. How to calculate the LCM of 867, 326, 122, 972, 204?
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 867, 326, 122, 972, 204.
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}.