LCM of 615, 726, 540, 860, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 615, 726, 540, 860, 923 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 615, 726, 540, 860, 923. So, keep reading to learn more.
Given numbers are 615,726,540,860,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,726,540,860,923 is 106324449660.
Find LCM of 615,726,540,860,923 with Prime Factorization
| 2 | 615, 726, 540, 860, 923 |
| 2 | 615, 363, 270, 430, 923 |
| 3 | 615, 363, 135, 215, 923 |
| 5 | 205, 121, 45, 215, 923 |
| 41, 121, 9, 43, 923 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 121 x 9 x 43 x 923 = 106324449660
Therefore, the lowest common multiple of 615,726,540,860,923 is 106324449660.
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.
615 x 726 x 540 x 860 x 923 = 191384009388000
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,726,540,860,923, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
726:2x 3x 11x 11
540:2x 2x 3x 3x 3x 5
860:2x 2x 5x 43
923:13x 71
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 5x 5 = 1800
Therefore, the value for common factors is 1800.
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 = 191384009388000/(1x1800)
LCM = 191384009388000/1800
LCM = 106324449660
Thus, we can understand that the LCM of 615,726,540,860,923 is 106324449660.
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FAQs on LCM of 615, 726, 540, 860, 923
1. What is the LCM of 615, 726, 540, 860, 923?
Answer: LCM of 615, 726, 540, 860, 923 is 106324449660.
2. How to calculate the LCM of 615, 726, 540, 860, 923?
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 615, 726, 540, 860, 923.
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}.