LCM of 289, 546, 933, 985, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 546, 933, 985, 806 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 289, 546, 933, 985, 806. So, keep reading to learn more.
Given numbers are 289,546,933,985,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,546,933,985,806 is 1498472574690.
Find LCM of 289,546,933,985,806 with Prime Factorization
| 2 | 289, 546, 933, 985, 806 |
| 3 | 289, 273, 933, 985, 403 |
| 13 | 289, 91, 311, 985, 403 |
| 289, 7, 311, 985, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 289 x 7 x 311 x 985 x 31 = 1498472574690
Therefore, the lowest common multiple of 289,546,933,985,806 is 1498472574690.
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.
289 x 546 x 933 x 985 x 806 = 116880860825820
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.
289 : 1, 17, 289
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
933 : 1, 3, 311, 933
985 : 1, 5, 197, 985
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,546,933,985,806, is 1.
Now, the common factors can be found like this.
289:17x 17
546:2x 3x 7x 13
933:3x 311
985:5x 197
806:2x 13x 31
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 13 = 78
Therefore, the value for common factors is 78.
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 = 116880860825820/(1x78)
LCM = 116880860825820/78
LCM = 1498472574690
Thus, we can understand that the LCM of 289,546,933,985,806 is 1498472574690.
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FAQs on LCM of 289, 546, 933, 985, 806
1. What is the LCM of 289, 546, 933, 985, 806?
Answer: LCM of 289, 546, 933, 985, 806 is 1498472574690.
2. How to calculate the LCM of 289, 546, 933, 985, 806?
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 289, 546, 933, 985, 806.
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}.