Find the LCM of 135, 468, 723, 255, 564 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 135, 468, 723, 255, 564. So, keep reading to learn more.
Given numbers are 135,468,723,255,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 135,468,723,255,564 is 1351764180.
Find LCM of 135,468,723,255,564 with Prime Factorization
2 | 135, 468, 723, 255, 564 |
2 | 135, 234, 723, 255, 282 |
3 | 135, 117, 723, 255, 141 |
3 | 45, 39, 241, 85, 47 |
5 | 15, 13, 241, 85, 47 |
3, 13, 241, 17, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 3 x 13 x 241 x 17 x 47 = 1351764180
Therefore, the lowest common multiple of 135,468,723,255,564 is 1351764180.
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.
135 x 468 x 723 x 255 x 564 = 6569573914800
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.
135 : 1, 3, 5, 9, 15, 27, 45, 135
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
723 : 1, 3, 241, 723
255 : 1, 3, 5, 15, 17, 51, 85, 255
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,468,723,255,564, is 3.
Now, the common factors can be found like this.
135:3x 3x 3x 5
468:2x 2x 3x 3x 13
723:3x 241
255:3x 5x 17
564:2x 2x 3x 47
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 5 = 1620
Therefore, the value for common factors is 1620.
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 = 6569573914800/(3x1620)
LCM = 6569573914800/4860
LCM = 1351764180
Thus, we can understand that the LCM of 135,468,723,255,564 is 1351764180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 135, 468, 723, 255, 564?
Answer: LCM of 135, 468, 723, 255, 564 is 1351764180.
2. How to calculate the LCM of 135, 468, 723, 255, 564?
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 135, 468, 723, 255, 564.
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}.