LCM of 845, 169, 975, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 169, 975, 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 845, 169, 975, 611. So, keep reading to learn more.
Given numbers are 845,169,975,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,169,975,611 is 595725.
Find LCM of 845,169,975,611 with Prime Factorization
| 5 | 845, 169, 975, 611 |
| 13 | 169, 169, 195, 611 |
| 13 | 13, 13, 15, 47 |
| 1, 1, 15, 47 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 13 x 1 x 1 x 15 x 47 = 595725
Therefore, the lowest common multiple of 845,169,975,611 is 595725.
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.
845 x 169 x 975 x 611 = 85072508625
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.
845 : 1, 5, 13, 65, 169, 845
169 : 1, 13, 169
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
611 : 1, 13, 47, 611
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,169,975,611, is 13.
Now, the common factors can be found like this.
845:5x 13x 13
169:13x 13
975:3x 5x 5x 13
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.
5x 13x 13x 13 = 10985
Therefore, the value for common factors is 10985.
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 = 85072508625/(13x10985)
LCM = 85072508625/142805
LCM = 595725
Thus, we can understand that the LCM of 845,169,975,611 is 595725.
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FAQs on LCM of 845, 169, 975, 611
1. What is the LCM of 845, 169, 975, 611?
Answer: LCM of 845, 169, 975, 611 is 595725.
2. How to calculate the LCM of 845, 169, 975, 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 845, 169, 975, 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}.