LCM of 321, 187, 675, 317, 190
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 187, 675, 317, 190 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 321, 187, 675, 317, 190. So, keep reading to learn more.
Given numbers are 321,187,675,317,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,187,675,317,190 is 162694179450.
Find LCM of 321,187,675,317,190 with Prime Factorization
| 3 | 321, 187, 675, 317, 190 |
| 5 | 107, 187, 225, 317, 190 |
| 107, 187, 45, 317, 38 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 107 x 187 x 45 x 317 x 38 = 162694179450
Therefore, the lowest common multiple of 321,187,675,317,190 is 162694179450.
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.
321 x 187 x 675 x 317 x 190 = 2440412691750
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.
321 : 1, 3, 107, 321
187 : 1, 11, 17, 187
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
317 : 1, 317
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,187,675,317,190, is 1.
Now, the common factors can be found like this.
321:3x 107
187:11x 17
675:3x 3x 3x 5x 5
317:317
190:2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 2440412691750/(1x15)
LCM = 2440412691750/15
LCM = 162694179450
Thus, we can understand that the LCM of 321,187,675,317,190 is 162694179450.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 321, 187, 675, 317, 190
1. What is the LCM of 321, 187, 675, 317, 190?
Answer: LCM of 321, 187, 675, 317, 190 is 162694179450.
2. How to calculate the LCM of 321, 187, 675, 317, 190?
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 321, 187, 675, 317, 190.
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}.