LCM of 685, 992, 519, 806, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 992, 519, 806, 964 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, 992, 519, 806, 964. So, keep reading to learn more.
Given numbers are 685,992,519,806,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,992,519,806,964 is 1104917867040.
Find LCM of 685,992,519,806,964 with Prime Factorization
| 2 | 685, 992, 519, 806, 964 |
| 2 | 685, 496, 519, 403, 482 |
| 31 | 685, 248, 519, 403, 241 |
| 685, 8, 519, 13, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 685 x 8 x 519 x 13 x 241 = 1104917867040
Therefore, the lowest common multiple of 685,992,519,806,964 is 1104917867040.
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 992 x 519 x 806 x 964 = 274019631025920
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
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
519 : 1, 3, 173, 519
806 : 1, 2, 13, 26, 31, 62, 403, 806
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,992,519,806,964, is 1.
Now, the common factors can be found like this.
685:5x 137
992:2x 2x 2x 2x 2x 31
519:3x 173
806:2x 13x 31
964:2x 2x 241
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 2x 31 = 248
Therefore, the value for common factors is 248.
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 = 274019631025920/(1x248)
LCM = 274019631025920/248
LCM = 1104917867040
Thus, we can understand that the LCM of 685,992,519,806,964 is 1104917867040.
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FAQs on LCM of 685, 992, 519, 806, 964
1. What is the LCM of 685, 992, 519, 806, 964?
Answer: LCM of 685, 992, 519, 806, 964 is 1104917867040.
2. How to calculate the LCM of 685, 992, 519, 806, 964?
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, 992, 519, 806, 964.
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}.