LCM of 845, 625, 675, 837, 827
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 625, 675, 837, 827 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, 625, 675, 837, 827. So, keep reading to learn more.
Given numbers are 845,625,675,837,827
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,625,675,837,827 is 73113519375.
Find LCM of 845,625,675,837,827 with Prime Factorization
| 3 | 845, 625, 675, 837, 827 |
| 3 | 845, 625, 225, 279, 827 |
| 3 | 845, 625, 75, 93, 827 |
| 5 | 845, 625, 25, 31, 827 |
| 5 | 169, 125, 5, 31, 827 |
| 169, 25, 1, 31, 827 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 5 x 169 x 25 x 1 x 31 x 827 = 73113519375
Therefore, the lowest common multiple of 845,625,675,837,827 is 73113519375.
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 625 x 675 x 837 x 827 = 246758127890625
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
625 : 1, 5, 25, 125, 625
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
837 : 1, 3, 9, 27, 31, 93, 279, 837
827 : 1, 827
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,625,675,837,827, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
625:5x 5x 5x 5
675:3x 3x 3x 5x 5
837:3x 3x 3x 31
827:827
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 5x 5 = 3375
Therefore, the value for common factors is 3375.
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 = 246758127890625/(1x3375)
LCM = 246758127890625/3375
LCM = 73113519375
Thus, we can understand that the LCM of 845,625,675,837,827 is 73113519375.
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FAQs on LCM of 845, 625, 675, 837, 827
1. What is the LCM of 845, 625, 675, 837, 827?
Answer: LCM of 845, 625, 675, 837, 827 is 73113519375.
2. How to calculate the LCM of 845, 625, 675, 837, 827?
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, 625, 675, 837, 827.
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}.