LCM of 321, 615, 627, 741, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 615, 627, 741, 810 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, 615, 627, 741, 810. So, keep reading to learn more.
Given numbers are 321,615,627,741,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,615,627,741,810 is 9654777990.
Find LCM of 321,615,627,741,810 with Prime Factorization
| 3 | 321, 615, 627, 741, 810 |
| 5 | 107, 205, 209, 247, 270 |
| 19 | 107, 41, 209, 247, 54 |
| 107, 41, 11, 13, 54 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 107 x 41 x 11 x 13 x 54 = 9654777990
Therefore, the lowest common multiple of 321,615,627,741,810 is 9654777990.
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 615 x 627 x 741 x 810 = 74293516633050
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
615 : 1, 3, 5, 15, 41, 123, 205, 615
627 : 1, 3, 11, 19, 33, 57, 209, 627
741 : 1, 3, 13, 19, 39, 57, 247, 741
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,615,627,741,810, is 3.
Now, the common factors can be found like this.
321:3x 107
615:3x 5x 41
627:3x 11x 19
741:3x 13x 19
810:2x 3x 3x 3x 3x 5
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 5x 19 = 2565
Therefore, the value for common factors is 2565.
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 = 74293516633050/(3x2565)
LCM = 74293516633050/7695
LCM = 9654777990
Thus, we can understand that the LCM of 321,615,627,741,810 is 9654777990.
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FAQs on LCM of 321, 615, 627, 741, 810
1. What is the LCM of 321, 615, 627, 741, 810?
Answer: LCM of 321, 615, 627, 741, 810 is 9654777990.
2. How to calculate the LCM of 321, 615, 627, 741, 810?
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, 615, 627, 741, 810.
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}.