LCM of 741, 891, 916, 687, 243
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 891, 916, 687, 243 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 741, 891, 916, 687, 243. So, keep reading to learn more.
Given numbers are 741,891,916,687,243
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,891,916,687,243 is 604771596.
Find LCM of 741,891,916,687,243 with Prime Factorization
| 3 | 741, 891, 916, 687, 243 |
| 3 | 247, 297, 916, 229, 81 |
| 3 | 247, 99, 916, 229, 27 |
| 3 | 247, 33, 916, 229, 9 |
| 229 | 247, 11, 916, 229, 3 |
| 247, 11, 4, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 3 x 229 x 247 x 11 x 4 x 1 x 3 = 604771596
Therefore, the lowest common multiple of 741,891,916,687,243 is 604771596.
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.
741 x 891 x 916 x 687 x 243 = 100961175007836
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
916 : 1, 2, 4, 229, 458, 916
687 : 1, 3, 229, 687
243 : 1, 3, 9, 27, 81, 243
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,891,916,687,243, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
891:3x 3x 3x 3x 11
916:2x 2x 229
687:3x 229
243:3x 3x 3x 3x 3
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 3x 229 = 166941
Therefore, the value for common factors is 166941.
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 = 100961175007836/(1x166941)
LCM = 100961175007836/166941
LCM = 604771596
Thus, we can understand that the LCM of 741,891,916,687,243 is 604771596.
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FAQs on LCM of 741, 891, 916, 687, 243
1. What is the LCM of 741, 891, 916, 687, 243?
Answer: LCM of 741, 891, 916, 687, 243 is 604771596.
2. How to calculate the LCM of 741, 891, 916, 687, 243?
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 741, 891, 916, 687, 243.
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}.