LCM of 729, 972, 324, 223
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 972, 324, 223 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 729, 972, 324, 223. So, keep reading to learn more.
Given numbers are 729,972,324,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,972,324,223 is 650268.
Find LCM of 729,972,324,223 with Prime Factorization
| 2 | 729, 972, 324, 223 |
| 2 | 729, 486, 162, 223 |
| 3 | 729, 243, 81, 223 |
| 3 | 27, 243, 81, 223 |
| 3 | 9, 27, 81, 223 |
| 3 | 3, 9, 27, 223 |
| 3 | 1, 3, 9, 223 |
| 1, 1, 3, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 3 x 1 x 1 x 3 x 223 = 650268
Therefore, the lowest common multiple of 729,972,324,223 is 650268.
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.
729 x 972 x 324 x 223 = 51196900176
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.
729 : 1, 3, 9, 27, 81, 243, 729
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,972,324,223, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
972:2x 2x 3x 3x 3x 3x 3
324:2x 2x 3x 3x 3x 3
223:223
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 3x 3x 3x 3x 3x 3x 3x 3x 3 = 78732
Therefore, the value for common factors is 78732.
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 = 51196900176/(1x78732)
LCM = 51196900176/78732
LCM = 650268
Thus, we can understand that the LCM of 729,972,324,223 is 650268.
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FAQs on LCM of 729, 972, 324, 223
1. What is the LCM of 729, 972, 324, 223?
Answer: LCM of 729, 972, 324, 223 is 650268.
2. How to calculate the LCM of 729, 972, 324, 223?
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 729, 972, 324, 223.
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}.