LCM of 648, 324, 726, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 648, 324, 726, 723 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 648, 324, 726, 723. So, keep reading to learn more.
Given numbers are 648,324,726,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 648,324,726,723 is 18896328.
Find LCM of 648,324,726,723 with Prime Factorization
| 2 | 648, 324, 726, 723 |
| 2 | 324, 162, 363, 723 |
| 3 | 81, 162, 363, 723 |
| 3 | 27, 54, 121, 241 |
| 3 | 9, 18, 121, 241 |
| 3 | 3, 6, 121, 241 |
| 1, 2, 121, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 1 x 2 x 121 x 241 = 18896328
Therefore, the lowest common multiple of 648,324,726,723 is 18896328.
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.
648 x 324 x 726 x 723 = 110203384896
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.
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
723 : 1, 3, 241, 723
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,324,726,723, is 3.
Now, the common factors can be found like this.
648:2x 2x 2x 3x 3x 3x 3
324:2x 2x 3x 3x 3x 3
726:2x 3x 11x 11
723:3x 241
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 3x 3x 3x 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 110203384896/(3x1944)
LCM = 110203384896/5832
LCM = 18896328
Thus, we can understand that the LCM of 648,324,726,723 is 18896328.
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FAQs on LCM of 648, 324, 726, 723
1. What is the LCM of 648, 324, 726, 723?
Answer: LCM of 648, 324, 726, 723 is 18896328.
2. How to calculate the LCM of 648, 324, 726, 723?
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 648, 324, 726, 723.
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}.