LCM of 682, 979, 712, 556
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 979, 712, 556 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, 979, 712, 556. So, keep reading to learn more.
Given numbers are 682,979,712,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,979,712,556 is 33748088.
Find LCM of 682,979,712,556 with Prime Factorization
| 2 | 682, 979, 712, 556 |
| 2 | 341, 979, 356, 278 |
| 11 | 341, 979, 178, 139 |
| 89 | 31, 89, 178, 139 |
| 31, 1, 2, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 89 x 31 x 1 x 2 x 139 = 33748088
Therefore, the lowest common multiple of 682,979,712,556 is 33748088.
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 979 x 712 x 556 = 264315025216
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
979 : 1, 11, 89, 979
712 : 1, 2, 4, 8, 89, 178, 356, 712
556 : 1, 2, 4, 139, 278, 556
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,979,712,556, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
979:11x 89
712:2x 2x 2x 89
556:2x 2x 139
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 11x 89 = 7832
Therefore, the value for common factors is 7832.
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 = 264315025216/(1x7832)
LCM = 264315025216/7832
LCM = 33748088
Thus, we can understand that the LCM of 682,979,712,556 is 33748088.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 682, 979, 712, 556
1. What is the LCM of 682, 979, 712, 556?
Answer: LCM of 682, 979, 712, 556 is 33748088.
2. How to calculate the LCM of 682, 979, 712, 556?
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, 979, 712, 556.
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}.