LCM of 168, 381, 380, 424, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 381, 380, 424, 816 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 168, 381, 380, 424, 816. So, keep reading to learn more.
Given numbers are 168,381,380,424,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,381,380,424,816 is 3652509840.
Find LCM of 168,381,380,424,816 with Prime Factorization
| 2 | 168, 381, 380, 424, 816 |
| 2 | 84, 381, 190, 212, 408 |
| 2 | 42, 381, 95, 106, 204 |
| 3 | 21, 381, 95, 53, 102 |
| 7, 127, 95, 53, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 127 x 95 x 53 x 34 = 3652509840
Therefore, the lowest common multiple of 168,381,380,424,816 is 3652509840.
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.
168 x 381 x 380 x 424 x 816 = 8415382671360
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
381 : 1, 3, 127, 381
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
424 : 1, 2, 4, 8, 53, 106, 212, 424
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,381,380,424,816, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
381:3x 127
380:2x 2x 5x 19
424:2x 2x 2x 53
816:2x 2x 2x 2x 3x 17
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 2x 2x 3x 3 = 2304
Therefore, the value for common factors is 2304.
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 = 8415382671360/(1x2304)
LCM = 8415382671360/2304
LCM = 3652509840
Thus, we can understand that the LCM of 168,381,380,424,816 is 3652509840.
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FAQs on LCM of 168, 381, 380, 424, 816
1. What is the LCM of 168, 381, 380, 424, 816?
Answer: LCM of 168, 381, 380, 424, 816 is 3652509840.
2. How to calculate the LCM of 168, 381, 380, 424, 816?
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 168, 381, 380, 424, 816.
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}.