Find the LCM of 548, 836, 486, 135 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 548, 836, 486, 135. So, keep reading to learn more.
Given numbers are 548,836,486,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,836,486,135 is 139156380.
Find LCM of 548,836,486,135 with Prime Factorization
2 | 548, 836, 486, 135 |
2 | 274, 418, 243, 135 |
3 | 137, 209, 243, 135 |
3 | 137, 209, 81, 45 |
3 | 137, 209, 27, 15 |
137, 209, 9, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 137 x 209 x 9 x 5 = 139156380
Therefore, the lowest common multiple of 548,836,486,135 is 139156380.
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.
548 x 836 x 486 x 135 = 30057778080
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.
548 : 1, 2, 4, 137, 274, 548
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,836,486,135, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
836:2x 2x 11x 19
486:2x 3x 3x 3x 3x 3
135:3x 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 2x 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 30057778080/(1x216)
LCM = 30057778080/216
LCM = 139156380
Thus, we can understand that the LCM of 548,836,486,135 is 139156380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 548, 836, 486, 135?
Answer: LCM of 548, 836, 486, 135 is 139156380.
2. How to calculate the LCM of 548, 836, 486, 135?
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 548, 836, 486, 135.
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}.