LCM of 190, 285, 517, 123, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 285, 517, 123, 107 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, 285, 517, 123, 107. So, keep reading to learn more.
Given numbers are 190,285,517,123,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,285,517,123,107 is 1292805030.
Find LCM of 190,285,517,123,107 with Prime Factorization
| 3 | 190, 285, 517, 123, 107 |
| 5 | 190, 95, 517, 41, 107 |
| 19 | 38, 19, 517, 41, 107 |
| 2, 1, 517, 41, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 2 x 1 x 517 x 41 x 107 = 1292805030
Therefore, the lowest common multiple of 190,285,517,123,107 is 1292805030.
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 285 x 517 x 123 x 107 = 368449433550
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
285 : 1, 3, 5, 15, 19, 57, 95, 285
517 : 1, 11, 47, 517
123 : 1, 3, 41, 123
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,285,517,123,107, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
285:3x 5x 19
517:11x 47
123:3x 41
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 19 = 285
Therefore, the value for common factors is 285.
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 = 368449433550/(1x285)
LCM = 368449433550/285
LCM = 1292805030
Thus, we can understand that the LCM of 190,285,517,123,107 is 1292805030.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 190, 285, 517, 123, 107
1. What is the LCM of 190, 285, 517, 123, 107?
Answer: LCM of 190, 285, 517, 123, 107 is 1292805030.
2. How to calculate the LCM of 190, 285, 517, 123, 107?
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, 285, 517, 123, 107.
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}.