Find the LCM of 190, 988, 181, 702, 242 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 190, 988, 181, 702, 242. So, keep reading to learn more.
Given numbers are 190,988,181,702,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,988,181,702,242 is 2921155380.
Find LCM of 190,988,181,702,242 with Prime Factorization
2 | 190, 988, 181, 702, 242 |
13 | 95, 494, 181, 351, 121 |
19 | 95, 38, 181, 27, 121 |
5, 2, 181, 27, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 5 x 2 x 181 x 27 x 121 = 2921155380
Therefore, the lowest common multiple of 190,988,181,702,242 is 2921155380.
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.
190 x 988 x 181 x 702 x 242 = 5772203030880
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
181 : 1, 181
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,988,181,702,242, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
988:2x 2x 13x 19
181:181
702:2x 3x 3x 3x 13
242:2x 11x 11
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 13x 19 = 1976
Therefore, the value for common factors is 1976.
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 = 5772203030880/(1x1976)
LCM = 5772203030880/1976
LCM = 2921155380
Thus, we can understand that the LCM of 190,988,181,702,242 is 2921155380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 190, 988, 181, 702, 242?
Answer: LCM of 190, 988, 181, 702, 242 is 2921155380.
2. How to calculate the LCM of 190, 988, 181, 702, 242?
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 190, 988, 181, 702, 242.
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}.