LCM of 267, 612, 891, 591, 643
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 612, 891, 591, 643 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 267, 612, 891, 591, 643. So, keep reading to learn more.
Given numbers are 267,612,891,591,643
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,612,891,591,643 is 683052086772.
Find LCM of 267,612,891,591,643 with Prime Factorization
| 3 | 267, 612, 891, 591, 643 |
| 3 | 89, 204, 297, 197, 643 |
| 89, 68, 99, 197, 643 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 89 x 68 x 99 x 197 x 643 = 683052086772
Therefore, the lowest common multiple of 267,612,891,591,643 is 683052086772.
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.
267 x 612 x 891 x 591 x 643 = 55327219028532
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.
267 : 1, 3, 89, 267
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
591 : 1, 3, 197, 591
643 : 1, 643
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,612,891,591,643, is 1.
Now, the common factors can be found like this.
267:3x 89
612:2x 2x 3x 3x 17
891:3x 3x 3x 3x 11
591:3x 197
643:643
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 3 = 81
Therefore, the value for common factors is 81.
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 = 55327219028532/(1x81)
LCM = 55327219028532/81
LCM = 683052086772
Thus, we can understand that the LCM of 267,612,891,591,643 is 683052086772.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 267, 612, 891, 591, 643
1. What is the LCM of 267, 612, 891, 591, 643?
Answer: LCM of 267, 612, 891, 591, 643 is 683052086772.
2. How to calculate the LCM of 267, 612, 891, 591, 643?
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 267, 612, 891, 591, 643.
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}.