LCM of 646, 108, 456, 192, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 108, 456, 192, 891 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 646, 108, 456, 192, 891. So, keep reading to learn more.
Given numbers are 646,108,456,192,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,108,456,192,891 is 18418752.
Find LCM of 646,108,456,192,891 with Prime Factorization
| 2 | 646, 108, 456, 192, 891 |
| 2 | 323, 54, 228, 96, 891 |
| 2 | 323, 27, 114, 48, 891 |
| 3 | 323, 27, 57, 24, 891 |
| 3 | 323, 9, 19, 8, 297 |
| 3 | 323, 3, 19, 8, 99 |
| 19 | 323, 1, 19, 8, 33 |
| 17, 1, 1, 8, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 19 x 17 x 1 x 1 x 8 x 33 = 18418752
Therefore, the lowest common multiple of 646,108,456,192,891 is 18418752.
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.
646 x 108 x 456 x 192 x 891 = 5442520190976
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,108,456,192,891, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
108:2x 2x 3x 3x 3
456:2x 2x 2x 3x 19
192:2x 2x 2x 2x 2x 2x 3
891:3x 3x 3x 3x 11
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 2x 2x 2x 3x 3x 3x 3x 3x 19 = 295488
Therefore, the value for common factors is 295488.
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 = 5442520190976/(1x295488)
LCM = 5442520190976/295488
LCM = 18418752
Thus, we can understand that the LCM of 646,108,456,192,891 is 18418752.
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FAQs on LCM of 646, 108, 456, 192, 891
1. What is the LCM of 646, 108, 456, 192, 891?
Answer: LCM of 646, 108, 456, 192, 891 is 18418752.
2. How to calculate the LCM of 646, 108, 456, 192, 891?
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 646, 108, 456, 192, 891.
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}.