Find the LCM of 685, 968, 961, 434, 290 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 685, 968, 961, 434, 290. So, keep reading to learn more.
Given numbers are 685,968,961,434,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,968,961,434,290 is 129355635640.
Find LCM of 685,968,961,434,290 with Prime Factorization
2 | 685, 968, 961, 434, 290 |
5 | 685, 484, 961, 217, 145 |
31 | 137, 484, 961, 217, 29 |
137, 484, 31, 7, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 137 x 484 x 31 x 7 x 29 = 129355635640
Therefore, the lowest common multiple of 685,968,961,434,290 is 129355635640.
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.
685 x 968 x 961 x 434 x 290 = 80200494096800
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.
685 : 1, 5, 137, 685
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
961 : 1, 31, 961
434 : 1, 2, 7, 14, 31, 62, 217, 434
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,968,961,434,290, is 1.
Now, the common factors can be found like this.
685:5x 137
968:2x 2x 2x 11x 11
961:31x 31
434:2x 7x 31
290:2x 5x 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 5x 31 = 620
Therefore, the value for common factors is 620.
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 = 80200494096800/(1x620)
LCM = 80200494096800/620
LCM = 129355635640
Thus, we can understand that the LCM of 685,968,961,434,290 is 129355635640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 685, 968, 961, 434, 290?
Answer: LCM of 685, 968, 961, 434, 290 is 129355635640.
2. How to calculate the LCM of 685, 968, 961, 434, 290?
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 685, 968, 961, 434, 290.
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}.