Find the LCM of 261, 589, 969, 182, 685 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 261, 589, 969, 182, 685. So, keep reading to learn more.
Given numbers are 261,589,969,182,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,589,969,182,685 is 325811705310.
Find LCM of 261,589,969,182,685 with Prime Factorization
3 | 261, 589, 969, 182, 685 |
19 | 87, 589, 323, 182, 685 |
87, 31, 17, 182, 685 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 87 x 31 x 17 x 182 x 685 = 325811705310
Therefore, the lowest common multiple of 261,589,969,182,685 is 325811705310.
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.
261 x 589 x 969 x 182 x 685 = 18571267202670
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.
261 : 1, 3, 9, 29, 87, 261
589 : 1, 19, 31, 589
969 : 1, 3, 17, 19, 51, 57, 323, 969
182 : 1, 2, 7, 13, 14, 26, 91, 182
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,589,969,182,685, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
589:19x 31
969:3x 17x 19
182:2x 7x 13
685:5x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19 = 57
Therefore, the value for common factors is 57.
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 = 18571267202670/(1x57)
LCM = 18571267202670/57
LCM = 325811705310
Thus, we can understand that the LCM of 261,589,969,182,685 is 325811705310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 261, 589, 969, 182, 685?
Answer: LCM of 261, 589, 969, 182, 685 is 325811705310.
2. How to calculate the LCM of 261, 589, 969, 182, 685?
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 261, 589, 969, 182, 685.
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}.