LCM of 830, 806, 905, 589, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 806, 905, 589, 689 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 830, 806, 905, 589, 689. So, keep reading to learn more.
Given numbers are 830,806,905,589,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,806,905,589,689 is 60966488830.
Find LCM of 830,806,905,589,689 with Prime Factorization
| 2 | 830, 806, 905, 589, 689 |
| 5 | 415, 403, 905, 589, 689 |
| 13 | 83, 403, 181, 589, 689 |
| 31 | 83, 31, 181, 589, 53 |
| 83, 1, 181, 19, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 31 x 83 x 1 x 181 x 19 x 53 = 60966488830
Therefore, the lowest common multiple of 830,806,905,589,689 is 60966488830.
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.
830 x 806 x 905 x 589 x 689 = 245694949984900
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
806 : 1, 2, 13, 26, 31, 62, 403, 806
905 : 1, 5, 181, 905
589 : 1, 19, 31, 589
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,806,905,589,689, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
806:2x 13x 31
905:5x 181
589:19x 31
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 31 = 4030
Therefore, the value for common factors is 4030.
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 = 245694949984900/(1x4030)
LCM = 245694949984900/4030
LCM = 60966488830
Thus, we can understand that the LCM of 830,806,905,589,689 is 60966488830.
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FAQs on LCM of 830, 806, 905, 589, 689
1. What is the LCM of 830, 806, 905, 589, 689?
Answer: LCM of 830, 806, 905, 589, 689 is 60966488830.
2. How to calculate the LCM of 830, 806, 905, 589, 689?
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 830, 806, 905, 589, 689.
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}.