LCM of 723, 187, 999, 468, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 187, 999, 468, 726 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 723, 187, 999, 468, 726. So, keep reading to learn more.
Given numbers are 723,187,999,468,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,187,999,468,726 is 25752545676.
Find LCM of 723,187,999,468,726 with Prime Factorization
| 2 | 723, 187, 999, 468, 726 |
| 3 | 723, 187, 999, 234, 363 |
| 3 | 241, 187, 333, 78, 121 |
| 11 | 241, 187, 111, 26, 121 |
| 241, 17, 111, 26, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 241 x 17 x 111 x 26 x 11 = 25752545676
Therefore, the lowest common multiple of 723,187,999,468,726 is 25752545676.
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.
723 x 187 x 999 x 468 x 726 = 45891036394632
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.
723 : 1, 3, 241, 723
187 : 1, 11, 17, 187
999 : 1, 3, 9, 27, 37, 111, 333, 999
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,187,999,468,726, is 1.
Now, the common factors can be found like this.
723:3x 241
187:11x 17
999:3x 3x 3x 37
468:2x 2x 3x 3x 13
726:2x 3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 11 = 1782
Therefore, the value for common factors is 1782.
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 = 45891036394632/(1x1782)
LCM = 45891036394632/1782
LCM = 25752545676
Thus, we can understand that the LCM of 723,187,999,468,726 is 25752545676.
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FAQs on LCM of 723, 187, 999, 468, 726
1. What is the LCM of 723, 187, 999, 468, 726?
Answer: LCM of 723, 187, 999, 468, 726 is 25752545676.
2. How to calculate the LCM of 723, 187, 999, 468, 726?
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 723, 187, 999, 468, 726.
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}.