LCM of 969, 846, 931, 831, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 846, 931, 831, 882 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 969, 846, 931, 831, 882. So, keep reading to learn more.
Given numbers are 969,846,931,831,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,846,931,831,882 is 3708930834.
Find LCM of 969,846,931,831,882 with Prime Factorization
| 2 | 969, 846, 931, 831, 882 |
| 3 | 969, 423, 931, 831, 441 |
| 3 | 323, 141, 931, 277, 147 |
| 7 | 323, 47, 931, 277, 49 |
| 7 | 323, 47, 133, 277, 7 |
| 19 | 323, 47, 19, 277, 1 |
| 17, 47, 1, 277, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 7 x 19 x 17 x 47 x 1 x 277 x 1 = 3708930834
Therefore, the lowest common multiple of 969,846,931,831,882 is 3708930834.
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.
969 x 846 x 931 x 831 x 882 = 559388366245548
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
931 : 1, 7, 19, 49, 133, 931
831 : 1, 3, 277, 831
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,846,931,831,882, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
846:2x 3x 3x 47
931:7x 7x 19
831:3x 277
882:2x 3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 7x 7x 19 = 150822
Therefore, the value for common factors is 150822.
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 = 559388366245548/(1x150822)
LCM = 559388366245548/150822
LCM = 3708930834
Thus, we can understand that the LCM of 969,846,931,831,882 is 3708930834.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 969, 846, 931, 831, 882
1. What is the LCM of 969, 846, 931, 831, 882?
Answer: LCM of 969, 846, 931, 831, 882 is 3708930834.
2. How to calculate the LCM of 969, 846, 931, 831, 882?
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 969, 846, 931, 831, 882.
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}.