LCM of 308, 680, 323, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 680, 323, 493 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 308, 680, 323, 493. So, keep reading to learn more.
Given numbers are 308,680,323,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,680,323,493 is 28850360.
Find LCM of 308,680,323,493 with Prime Factorization
| 2 | 308, 680, 323, 493 |
| 2 | 154, 340, 323, 493 |
| 17 | 77, 170, 323, 493 |
| 77, 10, 19, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 77 x 10 x 19 x 29 = 28850360
Therefore, the lowest common multiple of 308,680,323,493 is 28850360.
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.
308 x 680 x 323 x 493 = 33351016160
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
323 : 1, 17, 19, 323
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,680,323,493, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
680:2x 2x 2x 5x 17
323:17x 19
493:17x 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 17x 17 = 1156
Therefore, the value for common factors is 1156.
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 = 33351016160/(1x1156)
LCM = 33351016160/1156
LCM = 28850360
Thus, we can understand that the LCM of 308,680,323,493 is 28850360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 308, 680, 323, 493
1. What is the LCM of 308, 680, 323, 493?
Answer: LCM of 308, 680, 323, 493 is 28850360.
2. How to calculate the LCM of 308, 680, 323, 493?
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 308, 680, 323, 493.
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}.