Find the LCM of 401, 135, 758, 150, 225 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 401, 135, 758, 150, 225. So, keep reading to learn more.
Given numbers are 401,135,758,150,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,135,758,150,225 is 205171650.
Find LCM of 401,135,758,150,225 with Prime Factorization
2 | 401, 135, 758, 150, 225 |
3 | 401, 135, 379, 75, 225 |
3 | 401, 45, 379, 25, 75 |
5 | 401, 15, 379, 25, 25 |
5 | 401, 3, 379, 5, 5 |
401, 3, 379, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 401 x 3 x 379 x 1 x 1 = 205171650
Therefore, the lowest common multiple of 401,135,758,150,225 is 205171650.
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.
401 x 135 x 758 x 150 x 225 = 1384908637500
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.
401 : 1, 401
135 : 1, 3, 5, 9, 15, 27, 45, 135
758 : 1, 2, 379, 758
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,135,758,150,225, is 1.
Now, the common factors can be found like this.
401:401
135:3x 3x 3x 5
758:2x 379
150:2x 3x 5x 5
225:3x 3x 5x 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 3x 3x 3x 5x 5x 5 = 6750
Therefore, the value for common factors is 6750.
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 = 1384908637500/(1x6750)
LCM = 1384908637500/6750
LCM = 205171650
Thus, we can understand that the LCM of 401,135,758,150,225 is 205171650.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 401, 135, 758, 150, 225?
Answer: LCM of 401, 135, 758, 150, 225 is 205171650.
2. How to calculate the LCM of 401, 135, 758, 150, 225?
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 401, 135, 758, 150, 225.
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}.