LCM of 879, 891, 455, 545, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 891, 455, 545, 468 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 879, 891, 455, 545, 468. So, keep reading to learn more.
Given numbers are 879,891,455,545,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,891,455,545,468 is 51789677940.
Find LCM of 879,891,455,545,468 with Prime Factorization
| 3 | 879, 891, 455, 545, 468 |
| 3 | 293, 297, 455, 545, 156 |
| 5 | 293, 99, 455, 545, 52 |
| 13 | 293, 99, 91, 109, 52 |
| 293, 99, 7, 109, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 293 x 99 x 7 x 109 x 4 = 51789677940
Therefore, the lowest common multiple of 879,891,455,545,468 is 51789677940.
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.
879 x 891 x 455 x 545 x 468 = 90890884784700
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.
879 : 1, 3, 293, 879
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
455 : 1, 5, 7, 13, 35, 65, 91, 455
545 : 1, 5, 109, 545
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,891,455,545,468, is 1.
Now, the common factors can be found like this.
879:3x 293
891:3x 3x 3x 3x 11
455:5x 7x 13
545:5x 109
468:2x 2x 3x 3x 13
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 13 = 1755
Therefore, the value for common factors is 1755.
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 = 90890884784700/(1x1755)
LCM = 90890884784700/1755
LCM = 51789677940
Thus, we can understand that the LCM of 879,891,455,545,468 is 51789677940.
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FAQs on LCM of 879, 891, 455, 545, 468
1. What is the LCM of 879, 891, 455, 545, 468?
Answer: LCM of 879, 891, 455, 545, 468 is 51789677940.
2. How to calculate the LCM of 879, 891, 455, 545, 468?
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 879, 891, 455, 545, 468.
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}.