Find the LCM of 308, 959, 959, 227, 689 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, 959, 959, 227, 689. So, keep reading to learn more.
Given numbers are 308,959,959,227,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,959,959,227,689 is 6599580988.
Find LCM of 308,959,959,227,689 with Prime Factorization
7 | 308, 959, 959, 227, 689 |
137 | 44, 137, 137, 227, 689 |
44, 1, 1, 227, 689 |
Multiply the prime numbers at the bottom and the left side.
7 x 137 x 44 x 1 x 1 x 227 x 689 = 6599580988
Therefore, the lowest common multiple of 308,959,959,227,689 is 6599580988.
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 959 x 959 x 227 x 689 = 44302987172444
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
959 : 1, 7, 137, 959
959 : 1, 7, 137, 959
227 : 1, 227
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,959,959,227,689, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
959:7x 137
959:7x 137
227:227
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 137 = 6713
Therefore, the value for common factors is 6713.
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 = 44302987172444/(1x6713)
LCM = 44302987172444/6713
LCM = 6599580988
Thus, we can understand that the LCM of 308,959,959,227,689 is 6599580988.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 308, 959, 959, 227, 689?
Answer: LCM of 308, 959, 959, 227, 689 is 6599580988.
2. How to calculate the LCM of 308, 959, 959, 227, 689?
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, 959, 959, 227, 689.
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}.