LCM of 308, 505, 285, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 505, 285, 690 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, 505, 285, 690. So, keep reading to learn more.
Given numbers are 308,505,285,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,505,285,690 is 203912940.
Find LCM of 308,505,285,690 with Prime Factorization
| 2 | 308, 505, 285, 690 |
| 3 | 154, 505, 285, 345 |
| 5 | 154, 505, 95, 115 |
| 154, 101, 19, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 154 x 101 x 19 x 23 = 203912940
Therefore, the lowest common multiple of 308,505,285,690 is 203912940.
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 505 x 285 x 690 = 30586941000
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
505 : 1, 5, 101, 505
285 : 1, 3, 5, 15, 19, 57, 95, 285
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,505,285,690, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
505:5x 101
285:3x 5x 19
690:2x 3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 30586941000/(1x150)
LCM = 30586941000/150
LCM = 203912940
Thus, we can understand that the LCM of 308,505,285,690 is 203912940.
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FAQs on LCM of 308, 505, 285, 690
1. What is the LCM of 308, 505, 285, 690?
Answer: LCM of 308, 505, 285, 690 is 203912940.
2. How to calculate the LCM of 308, 505, 285, 690?
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, 505, 285, 690.
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}.