Find the LCM of 751, 833, 189, 324 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 751, 833, 189, 324. So, keep reading to learn more.
Given numbers are 751,833,189,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,833,189,324 is 202688892.
Find LCM of 751,833,189,324 with Prime Factorization
3 | 751, 833, 189, 324 |
3 | 751, 833, 63, 108 |
3 | 751, 833, 21, 36 |
7 | 751, 833, 7, 12 |
751, 119, 1, 12 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 7 x 751 x 119 x 1 x 12 = 202688892
Therefore, the lowest common multiple of 751,833,189,324 is 202688892.
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.
751 x 833 x 189 x 324 = 38308200588
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.
751 : 1, 751
833 : 1, 7, 17, 49, 119, 833
189 : 1, 3, 7, 9, 21, 27, 63, 189
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,833,189,324, is 1.
Now, the common factors can be found like this.
751:751
833:7x 7x 17
189:3x 3x 3x 7
324:2x 2x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7 = 189
Therefore, the value for common factors is 189.
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 = 38308200588/(1x189)
LCM = 38308200588/189
LCM = 202688892
Thus, we can understand that the LCM of 751,833,189,324 is 202688892.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 751, 833, 189, 324?
Answer: LCM of 751, 833, 189, 324 is 202688892.
2. How to calculate the LCM of 751, 833, 189, 324?
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 751, 833, 189, 324.
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}.