LCM of 680, 296, 731, 320, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 680, 296, 731, 320, 688 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 680, 296, 731, 320, 688. So, keep reading to learn more.
Given numbers are 680,296,731,320,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 680,296,731,320,688 is 8655040.
Find LCM of 680,296,731,320,688 with Prime Factorization
| 2 | 680, 296, 731, 320, 688 |
| 2 | 340, 148, 731, 160, 344 |
| 2 | 170, 74, 731, 80, 172 |
| 2 | 85, 37, 731, 40, 86 |
| 5 | 85, 37, 731, 20, 43 |
| 17 | 17, 37, 731, 4, 43 |
| 43 | 1, 37, 43, 4, 43 |
| 1, 37, 1, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 17 x 43 x 1 x 37 x 1 x 4 x 1 = 8655040
Therefore, the lowest common multiple of 680,296,731,320,688 is 8655040.
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.
680 x 296 x 731 x 320 x 688 = 32393391308800
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.
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
296 : 1, 2, 4, 8, 37, 74, 148, 296
731 : 1, 17, 43, 731
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,296,731,320,688, is 1.
Now, the common factors can be found like this.
680:2x 2x 2x 5x 17
296:2x 2x 2x 37
731:17x 43
320:2x 2x 2x 2x 2x 2x 5
688:2x 2x 2x 2x 43
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 2x 2x 5x 17x 43 = 3742720
Therefore, the value for common factors is 3742720.
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 = 32393391308800/(1x3742720)
LCM = 32393391308800/3742720
LCM = 8655040
Thus, we can understand that the LCM of 680,296,731,320,688 is 8655040.
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FAQs on LCM of 680, 296, 731, 320, 688
1. What is the LCM of 680, 296, 731, 320, 688?
Answer: LCM of 680, 296, 731, 320, 688 is 8655040.
2. How to calculate the LCM of 680, 296, 731, 320, 688?
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 680, 296, 731, 320, 688.
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}.