LCM of 806, 722, 699, 918, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 722, 699, 918, 969 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 806, 722, 699, 918, 969. So, keep reading to learn more.
Given numbers are 806,722,699,918,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,722,699,918,969 is 31117940802.
Find LCM of 806,722,699,918,969 with Prime Factorization
| 2 | 806, 722, 699, 918, 969 |
| 3 | 403, 361, 699, 459, 969 |
| 17 | 403, 361, 233, 153, 323 |
| 19 | 403, 361, 233, 9, 19 |
| 403, 1, 233, 9, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 403 x 1 x 233 x 9 x 19 = 31117940802
Therefore, the lowest common multiple of 806,722,699,918,969 is 31117940802.
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.
806 x 722 x 699 x 918 x 969 = 361839415645656
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
722 : 1, 2, 19, 38, 361, 722
699 : 1, 3, 233, 699
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,722,699,918,969, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
722:2x 19x 19
699:3x 233
918:2x 3x 3x 3x 17
969:3x 17x 19
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 3x 3x 17x 19 = 11628
Therefore, the value for common factors is 11628.
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 = 361839415645656/(1x11628)
LCM = 361839415645656/11628
LCM = 31117940802
Thus, we can understand that the LCM of 806,722,699,918,969 is 31117940802.
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FAQs on LCM of 806, 722, 699, 918, 969
1. What is the LCM of 806, 722, 699, 918, 969?
Answer: LCM of 806, 722, 699, 918, 969 is 31117940802.
2. How to calculate the LCM of 806, 722, 699, 918, 969?
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 806, 722, 699, 918, 969.
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}.