Find the LCM of 138, 255, 162, 187, 595 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 138, 255, 162, 187, 595. So, keep reading to learn more.
Given numbers are 138,255,162,187,595
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,255,162,187,595 is 24386670.
Find LCM of 138,255,162,187,595 with Prime Factorization
2 | 138, 255, 162, 187, 595 |
3 | 69, 255, 81, 187, 595 |
5 | 23, 85, 27, 187, 595 |
17 | 23, 17, 27, 187, 119 |
23, 1, 27, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 23 x 1 x 27 x 11 x 7 = 24386670
Therefore, the lowest common multiple of 138,255,162,187,595 is 24386670.
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.
138 x 255 x 162 x 187 x 595 = 634297286700
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
255 : 1, 3, 5, 15, 17, 51, 85, 255
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
187 : 1, 11, 17, 187
595 : 1, 5, 7, 17, 35, 85, 119, 595
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,255,162,187,595, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
255:3x 5x 17
162:2x 3x 3x 3x 3
187:11x 17
595:5x 7x 17
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 5x 17x 17 = 26010
Therefore, the value for common factors is 26010.
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 = 634297286700/(1x26010)
LCM = 634297286700/26010
LCM = 24386670
Thus, we can understand that the LCM of 138,255,162,187,595 is 24386670.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 138, 255, 162, 187, 595?
Answer: LCM of 138, 255, 162, 187, 595 is 24386670.
2. How to calculate the LCM of 138, 255, 162, 187, 595?
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 138, 255, 162, 187, 595.
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}.