LCM of 678, 394, 452, 160, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 394, 452, 160, 464 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 678, 394, 452, 160, 464. So, keep reading to learn more.
Given numbers are 678,394,452,160,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,394,452,160,464 is 309873120.
Find LCM of 678,394,452,160,464 with Prime Factorization
| 2 | 678, 394, 452, 160, 464 |
| 2 | 339, 197, 226, 80, 232 |
| 2 | 339, 197, 113, 40, 116 |
| 2 | 339, 197, 113, 20, 58 |
| 113 | 339, 197, 113, 10, 29 |
| 3, 197, 1, 10, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 113 x 3 x 197 x 1 x 10 x 29 = 309873120
Therefore, the lowest common multiple of 678,394,452,160,464 is 309873120.
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.
678 x 394 x 452 x 160 x 464 = 8964009615360
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
394 : 1, 2, 197, 394
452 : 1, 2, 4, 113, 226, 452
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,394,452,160,464, is 2.
Now, the common factors can be found like this.
678:2x 3x 113
394:2x 197
452:2x 2x 113
160:2x 2x 2x 2x 2x 5
464:2x 2x 2x 2x 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 2x 2x 2x 2x 2x 113 = 14464
Therefore, the value for common factors is 14464.
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 = 8964009615360/(2x14464)
LCM = 8964009615360/28928
LCM = 309873120
Thus, we can understand that the LCM of 678,394,452,160,464 is 309873120.
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FAQs on LCM of 678, 394, 452, 160, 464
1. What is the LCM of 678, 394, 452, 160, 464?
Answer: LCM of 678, 394, 452, 160, 464 is 309873120.
2. How to calculate the LCM of 678, 394, 452, 160, 464?
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 678, 394, 452, 160, 464.
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}.