LCM of 321, 252, 459, 973, 729
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 252, 459, 973, 729 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 321, 252, 459, 973, 729. So, keep reading to learn more.
Given numbers are 321,252,459,973,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,252,459,973,729 is 5160990492.
Find LCM of 321,252,459,973,729 with Prime Factorization
| 3 | 321, 252, 459, 973, 729 |
| 3 | 107, 84, 153, 973, 243 |
| 3 | 107, 28, 51, 973, 81 |
| 7 | 107, 28, 17, 973, 27 |
| 107, 4, 17, 139, 27 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 7 x 107 x 4 x 17 x 139 x 27 = 5160990492
Therefore, the lowest common multiple of 321,252,459,973,729 is 5160990492.
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.
321 x 252 x 459 x 973 x 729 = 26336534480676
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.
321 : 1, 3, 107, 321
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
459 : 1, 3, 9, 17, 27, 51, 153, 459
973 : 1, 7, 139, 973
729 : 1, 3, 9, 27, 81, 243, 729
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,252,459,973,729, is 1.
Now, the common factors can be found like this.
321:3x 107
252:2x 2x 3x 3x 7
459:3x 3x 3x 17
973:7x 139
729:3x 3x 3x 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.
3x 3x 3x 3x 3x 3x 7 = 5103
Therefore, the value for common factors is 5103.
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 = 26336534480676/(1x5103)
LCM = 26336534480676/5103
LCM = 5160990492
Thus, we can understand that the LCM of 321,252,459,973,729 is 5160990492.
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FAQs on LCM of 321, 252, 459, 973, 729
1. What is the LCM of 321, 252, 459, 973, 729?
Answer: LCM of 321, 252, 459, 973, 729 is 5160990492.
2. How to calculate the LCM of 321, 252, 459, 973, 729?
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 321, 252, 459, 973, 729.
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}.