LCM of 806, 814, 682, 567, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 814, 682, 567, 758 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, 814, 682, 567, 758. So, keep reading to learn more.
Given numbers are 806,814,682,567,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,814,682,567,758 is 70493929506.
Find LCM of 806,814,682,567,758 with Prime Factorization
| 2 | 806, 814, 682, 567, 758 |
| 11 | 403, 407, 341, 567, 379 |
| 31 | 403, 37, 31, 567, 379 |
| 13, 37, 1, 567, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 13 x 37 x 1 x 567 x 379 = 70493929506
Therefore, the lowest common multiple of 806,814,682,567,758 is 70493929506.
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 814 x 682 x 567 x 758 = 192307439692368
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
682 : 1, 2, 11, 22, 31, 62, 341, 682
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,814,682,567,758, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
814:2x 11x 37
682:2x 11x 31
567:3x 3x 3x 3x 7
758:2x 379
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 31 = 2728
Therefore, the value for common factors is 2728.
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 = 192307439692368/(1x2728)
LCM = 192307439692368/2728
LCM = 70493929506
Thus, we can understand that the LCM of 806,814,682,567,758 is 70493929506.
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FAQs on LCM of 806, 814, 682, 567, 758
1. What is the LCM of 806, 814, 682, 567, 758?
Answer: LCM of 806, 814, 682, 567, 758 is 70493929506.
2. How to calculate the LCM of 806, 814, 682, 567, 758?
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, 814, 682, 567, 758.
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}.