LCM of 126, 961, 682, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 126, 961, 682, 869 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 126, 961, 682, 869. So, keep reading to learn more.
Given numbers are 126,961,682,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 126,961,682,869 is 105223734.
Find LCM of 126,961,682,869 with Prime Factorization
| 2 | 126, 961, 682, 869 |
| 11 | 63, 961, 341, 869 |
| 31 | 63, 961, 31, 79 |
| 63, 1, 31, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 63 x 1 x 31 x 79 = 105223734
Therefore, the lowest common multiple of 126,961,682,869 is 105223734.
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.
126 x 961 x 682 x 869 = 71762586588
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.
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
961 : 1, 31, 961
682 : 1, 2, 11, 22, 31, 62, 341, 682
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,961,682,869, is 1.
Now, the common factors can be found like this.
126:2x 3x 3x 7
961:31x 31
682:2x 11x 31
869:11x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 31 = 682
Therefore, the value for common factors is 682.
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 = 71762586588/(1x682)
LCM = 71762586588/682
LCM = 105223734
Thus, we can understand that the LCM of 126,961,682,869 is 105223734.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 126, 961, 682, 869
1. What is the LCM of 126, 961, 682, 869?
Answer: LCM of 126, 961, 682, 869 is 105223734.
2. How to calculate the LCM of 126, 961, 682, 869?
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 126, 961, 682, 869.
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}.