Find the LCM of 181, 972, 324, 275, 622 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 181, 972, 324, 275, 622. So, keep reading to learn more.
Given numbers are 181,972,324,275,622
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,972,324,275,622 is 15046584300.
Find LCM of 181,972,324,275,622 with Prime Factorization
2 | 181, 972, 324, 275, 622 |
2 | 181, 486, 162, 275, 311 |
3 | 181, 243, 81, 275, 311 |
3 | 181, 27, 81, 275, 311 |
3 | 181, 9, 27, 275, 311 |
3 | 181, 3, 9, 275, 311 |
181, 1, 3, 275, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 181 x 1 x 3 x 275 x 311 = 15046584300
Therefore, the lowest common multiple of 181,972,324,275,622 is 15046584300.
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.
181 x 972 x 324 x 275 x 622 = 9750186626400
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.
181 : 1, 181
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
275 : 1, 5, 11, 25, 55, 275
622 : 1, 2, 311, 622
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,972,324,275,622, is 1.
Now, the common factors can be found like this.
181:181
972:2x 2x 3x 3x 3x 3x 3
324:2x 2x 3x 3x 3x 3
275:5x 5x 11
622:2x 311
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 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 9750186626400/(1x648)
LCM = 9750186626400/648
LCM = 15046584300
Thus, we can understand that the LCM of 181,972,324,275,622 is 15046584300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 181, 972, 324, 275, 622?
Answer: LCM of 181, 972, 324, 275, 622 is 15046584300.
2. How to calculate the LCM of 181, 972, 324, 275, 622?
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 181, 972, 324, 275, 622.
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}.