LCM of 682, 968, 992, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 968, 992, 744 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, 968, 992, 744. So, keep reading to learn more.
Given numbers are 682,968,992,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,968,992,744 is 360096.
Find LCM of 682,968,992,744 with Prime Factorization
| 2 | 682, 968, 992, 744 |
| 2 | 341, 484, 496, 372 |
| 2 | 341, 242, 248, 186 |
| 11 | 341, 121, 124, 93 |
| 31 | 31, 11, 124, 93 |
| 1, 11, 4, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 31 x 1 x 11 x 4 x 3 = 360096
Therefore, the lowest common multiple of 682,968,992,744 is 360096.
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 968 x 992 x 744 = 487241576448
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
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,968,992,744, is 2.
Now, the common factors can be found like this.
682:2x 11x 31
968:2x 2x 2x 11x 11
992:2x 2x 2x 2x 2x 31
744:2x 2x 2x 3x 31
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 2x 2x 11x 31x 31 = 676544
Therefore, the value for common factors is 676544.
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 = 487241576448/(2x676544)
LCM = 487241576448/1353088
LCM = 360096
Thus, we can understand that the LCM of 682,968,992,744 is 360096.
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FAQs on LCM of 682, 968, 992, 744
1. What is the LCM of 682, 968, 992, 744?
Answer: LCM of 682, 968, 992, 744 is 360096.
2. How to calculate the LCM of 682, 968, 992, 744?
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, 968, 992, 744.
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}.