Find the LCM of 189, 796, 135, 756 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 189, 796, 135, 756. So, keep reading to learn more.
Given numbers are 189,796,135,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,796,135,756 is 752220.
Find LCM of 189,796,135,756 with Prime Factorization
2 | 189, 796, 135, 756 |
2 | 189, 398, 135, 378 |
3 | 189, 199, 135, 189 |
3 | 63, 199, 45, 63 |
3 | 21, 199, 15, 21 |
7 | 7, 199, 5, 7 |
1, 199, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 7 x 1 x 199 x 5 x 1 = 752220
Therefore, the lowest common multiple of 189,796,135,756 is 752220.
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.
189 x 796 x 135 x 756 = 15354314640
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
796 : 1, 2, 4, 199, 398, 796
135 : 1, 3, 5, 9, 15, 27, 45, 135
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,796,135,756, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
796:2x 2x 199
135:3x 3x 3x 5
756:2x 2x 3x 3x 3x 7
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 3x 3x 7 = 20412
Therefore, the value for common factors is 20412.
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 = 15354314640/(1x20412)
LCM = 15354314640/20412
LCM = 752220
Thus, we can understand that the LCM of 189,796,135,756 is 752220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 189, 796, 135, 756?
Answer: LCM of 189, 796, 135, 756 is 752220.
2. How to calculate the LCM of 189, 796, 135, 756?
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 189, 796, 135, 756.
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}.