Find the LCM of 135, 371, 135, 522, 360 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, 371, 135, 522, 360. So, keep reading to learn more.
Given numbers are 135,371,135,522,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 135,371,135,522,360 is 11619720.
Find LCM of 135,371,135,522,360 with Prime Factorization
2 | 135, 371, 135, 522, 360 |
3 | 135, 371, 135, 261, 180 |
3 | 45, 371, 45, 87, 60 |
3 | 15, 371, 15, 29, 20 |
5 | 5, 371, 5, 29, 20 |
1, 371, 1, 29, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 1 x 371 x 1 x 29 x 4 = 11619720
Therefore, the lowest common multiple of 135,371,135,522,360 is 11619720.
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 371 x 135 x 522 x 360 = 1270616382000
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
371 : 1, 7, 53, 371
135 : 1, 3, 5, 9, 15, 27, 45, 135
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,371,135,522,360, is 1.
Now, the common factors can be found like this.
135:3x 3x 3x 5
371:7x 53
135:3x 3x 3x 5
522:2x 3x 3x 29
360:2x 2x 2x 3x 3x 5
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 3x 3x 3x 5x 5 = 109350
Therefore, the value for common factors is 109350.
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 = 1270616382000/(1x109350)
LCM = 1270616382000/109350
LCM = 11619720
Thus, we can understand that the LCM of 135,371,135,522,360 is 11619720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 135, 371, 135, 522, 360?
Answer: LCM of 135, 371, 135, 522, 360 is 11619720.
2. How to calculate the LCM of 135, 371, 135, 522, 360?
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, 371, 135, 522, 360.
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}.