LCM of 768, 333, 381, 990, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 333, 381, 990, 406 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 768, 333, 381, 990, 406. So, keep reading to learn more.
Given numbers are 768,333,381,990,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,333,381,990,406 is 120877827840.
Find LCM of 768,333,381,990,406 with Prime Factorization
| 2 | 768, 333, 381, 990, 406 |
| 3 | 384, 333, 381, 495, 203 |
| 3 | 128, 111, 127, 165, 203 |
| 128, 37, 127, 55, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 128 x 37 x 127 x 55 x 203 = 120877827840
Therefore, the lowest common multiple of 768,333,381,990,406 is 120877827840.
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.
768 x 333 x 381 x 990 x 406 = 39164416220160
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
333 : 1, 3, 9, 37, 111, 333
381 : 1, 3, 127, 381
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,333,381,990,406, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
333:3x 3x 37
381:3x 127
990:2x 3x 3x 5x 11
406:2x 7x 29
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 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 39164416220160/(1x324)
LCM = 39164416220160/324
LCM = 120877827840
Thus, we can understand that the LCM of 768,333,381,990,406 is 120877827840.
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FAQs on LCM of 768, 333, 381, 990, 406
1. What is the LCM of 768, 333, 381, 990, 406?
Answer: LCM of 768, 333, 381, 990, 406 is 120877827840.
2. How to calculate the LCM of 768, 333, 381, 990, 406?
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 768, 333, 381, 990, 406.
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}.