LCM of 847, 204, 614, 120, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 847, 204, 614, 120, 627 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 847, 204, 614, 120, 627. So, keep reading to learn more.
Given numbers are 847,204,614,120,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,204,614,120,627 is 10078724040.
Find LCM of 847,204,614,120,627 with Prime Factorization
| 2 | 847, 204, 614, 120, 627 |
| 2 | 847, 102, 307, 60, 627 |
| 3 | 847, 51, 307, 30, 627 |
| 11 | 847, 17, 307, 10, 209 |
| 77, 17, 307, 10, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 77 x 17 x 307 x 10 x 19 = 10078724040
Therefore, the lowest common multiple of 847,204,614,120,627 is 10078724040.
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.
847 x 204 x 614 x 120 x 627 = 7982349439680
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.
847 : 1, 7, 11, 77, 121, 847
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
614 : 1, 2, 307, 614
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,204,614,120,627, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
204:2x 2x 3x 17
614:2x 307
120:2x 2x 2x 3x 5
627:3x 11x 19
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 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 7982349439680/(1x792)
LCM = 7982349439680/792
LCM = 10078724040
Thus, we can understand that the LCM of 847,204,614,120,627 is 10078724040.
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FAQs on LCM of 847, 204, 614, 120, 627
1. What is the LCM of 847, 204, 614, 120, 627?
Answer: LCM of 847, 204, 614, 120, 627 is 10078724040.
2. How to calculate the LCM of 847, 204, 614, 120, 627?
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 847, 204, 614, 120, 627.
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}.