LCM of 289, 799, 975, 826, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 799, 975, 826, 611 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, 799, 975, 826, 611. So, keep reading to learn more.
Given numbers are 289,799,975,826,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,799,975,826,611 is 10939069050.
Find LCM of 289,799,975,826,611 with Prime Factorization
| 13 | 289, 799, 975, 826, 611 |
| 17 | 289, 799, 75, 826, 47 |
| 47 | 17, 47, 75, 826, 47 |
| 17, 1, 75, 826, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 47 x 17 x 1 x 75 x 826 x 1 = 10939069050
Therefore, the lowest common multiple of 289,799,975,826,611 is 10939069050.
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 799 x 975 x 826 x 611 = 113624110222350
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
799 : 1, 17, 47, 799
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
826 : 1, 2, 7, 14, 59, 118, 413, 826
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,799,975,826,611, is 1.
Now, the common factors can be found like this.
289:17x 17
799:17x 47
975:3x 5x 5x 13
826:2x 7x 59
611:13x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17x 47 = 10387
Therefore, the value for common factors is 10387.
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 = 113624110222350/(1x10387)
LCM = 113624110222350/10387
LCM = 10939069050
Thus, we can understand that the LCM of 289,799,975,826,611 is 10939069050.
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FAQs on LCM of 289, 799, 975, 826, 611
1. What is the LCM of 289, 799, 975, 826, 611?
Answer: LCM of 289, 799, 975, 826, 611 is 10939069050.
2. How to calculate the LCM of 289, 799, 975, 826, 611?
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, 799, 975, 826, 611.
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}.