LCM of 324, 683, 189, 105, 615
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 324, 683, 189, 105, 615 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 324, 683, 189, 105, 615. So, keep reading to learn more.
Given numbers are 324,683,189,105,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 324,683,189,105,615 is 317554020.
Find LCM of 324,683,189,105,615 with Prime Factorization
| 3 | 324, 683, 189, 105, 615 |
| 3 | 108, 683, 63, 35, 205 |
| 3 | 36, 683, 21, 35, 205 |
| 5 | 12, 683, 7, 35, 205 |
| 7 | 12, 683, 7, 7, 41 |
| 12, 683, 1, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 7 x 12 x 683 x 1 x 1 x 41 = 317554020
Therefore, the lowest common multiple of 324,683,189,105,615 is 317554020.
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.
324 x 683 x 189 x 105 x 615 = 2700796940100
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.
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
683 : 1, 683
189 : 1, 3, 7, 9, 21, 27, 63, 189
105 : 1, 3, 5, 7, 15, 21, 35, 105
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,683,189,105,615, is 1.
Now, the common factors can be found like this.
324:2x 2x 3x 3x 3x 3
683:683
189:3x 3x 3x 7
105:3x 5x 7
615:3x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 5x 7 = 8505
Therefore, the value for common factors is 8505.
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 = 2700796940100/(1x8505)
LCM = 2700796940100/8505
LCM = 317554020
Thus, we can understand that the LCM of 324,683,189,105,615 is 317554020.
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FAQs on LCM of 324, 683, 189, 105, 615
1. What is the LCM of 324, 683, 189, 105, 615?
Answer: LCM of 324, 683, 189, 105, 615 is 317554020.
2. How to calculate the LCM of 324, 683, 189, 105, 615?
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 324, 683, 189, 105, 615.
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}.