LCM of 961, 806, 837, 471, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 806, 837, 471, 909 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 961, 806, 837, 471, 909. So, keep reading to learn more.
Given numbers are 961,806,837,471,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,806,837,471,909 is 10697481054.
Find LCM of 961,806,837,471,909 with Prime Factorization
| 3 | 961, 806, 837, 471, 909 |
| 3 | 961, 806, 279, 157, 303 |
| 31 | 961, 806, 93, 157, 101 |
| 31, 26, 3, 157, 101 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 31 x 31 x 26 x 3 x 157 x 101 = 10697481054
Therefore, the lowest common multiple of 961,806,837,471,909 is 10697481054.
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.
961 x 806 x 837 x 471 x 909 = 277567540908138
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.
961 : 1, 31, 961
806 : 1, 2, 13, 26, 31, 62, 403, 806
837 : 1, 3, 9, 27, 31, 93, 279, 837
471 : 1, 3, 157, 471
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,806,837,471,909, is 1.
Now, the common factors can be found like this.
961:31x 31
806:2x 13x 31
837:3x 3x 3x 31
471:3x 157
909:3x 3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 31x 31 = 25947
Therefore, the value for common factors is 25947.
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 = 277567540908138/(1x25947)
LCM = 277567540908138/25947
LCM = 10697481054
Thus, we can understand that the LCM of 961,806,837,471,909 is 10697481054.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 961, 806, 837, 471, 909
1. What is the LCM of 961, 806, 837, 471, 909?
Answer: LCM of 961, 806, 837, 471, 909 is 10697481054.
2. How to calculate the LCM of 961, 806, 837, 471, 909?
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 961, 806, 837, 471, 909.
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}.