Find the LCM of 425, 477, 185, 633, 189 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 425, 477, 185, 633, 189. So, keep reading to learn more.
Given numbers are 425,477,185,633,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 425,477,185,633,189 is 33236155575.
Find LCM of 425,477,185,633,189 with Prime Factorization
3 | 425, 477, 185, 633, 189 |
3 | 425, 159, 185, 211, 63 |
5 | 425, 53, 185, 211, 21 |
85, 53, 37, 211, 21 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 85 x 53 x 37 x 211 x 21 = 33236155575
Therefore, the lowest common multiple of 425,477,185,633,189 is 33236155575.
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.
425 x 477 x 185 x 633 x 189 = 4486881002625
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.
425 : 1, 5, 17, 25, 85, 425
477 : 1, 3, 9, 53, 159, 477
185 : 1, 5, 37, 185
633 : 1, 3, 211, 633
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 425,477,185,633,189, is 1.
Now, the common factors can be found like this.
425:5x 5x 17
477:3x 3x 53
185:5x 37
633:3x 211
189:3x 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.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 4486881002625/(1x135)
LCM = 4486881002625/135
LCM = 33236155575
Thus, we can understand that the LCM of 425,477,185,633,189 is 33236155575.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 425, 477, 185, 633, 189?
Answer: LCM of 425, 477, 185, 633, 189 is 33236155575.
2. How to calculate the LCM of 425, 477, 185, 633, 189?
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 425, 477, 185, 633, 189.
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}.