LCM of 682, 752, 963, 815, 440
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 752, 963, 815, 440 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 682, 752, 963, 815, 440. So, keep reading to learn more.
Given numbers are 682,752,963,815,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,752,963,815,440 is 201259373040.
Find LCM of 682,752,963,815,440 with Prime Factorization
| 2 | 682, 752, 963, 815, 440 |
| 2 | 341, 376, 963, 815, 220 |
| 2 | 341, 188, 963, 815, 110 |
| 5 | 341, 94, 963, 815, 55 |
| 11 | 341, 94, 963, 163, 11 |
| 31, 94, 963, 163, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 31 x 94 x 963 x 163 x 1 = 201259373040
Therefore, the lowest common multiple of 682,752,963,815,440 is 201259373040.
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.
682 x 752 x 963 x 815 x 440 = 177108248275200
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
963 : 1, 3, 9, 107, 321, 963
815 : 1, 5, 163, 815
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,752,963,815,440, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
752:2x 2x 2x 2x 47
963:3x 3x 107
815:5x 163
440:2x 2x 2x 5x 11
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 2x 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 177108248275200/(1x880)
LCM = 177108248275200/880
LCM = 201259373040
Thus, we can understand that the LCM of 682,752,963,815,440 is 201259373040.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 682, 752, 963, 815, 440
1. What is the LCM of 682, 752, 963, 815, 440?
Answer: LCM of 682, 752, 963, 815, 440 is 201259373040.
2. How to calculate the LCM of 682, 752, 963, 815, 440?
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 682, 752, 963, 815, 440.
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}.