LCM of 625, 589, 949, 728, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 625, 589, 949, 728, 105 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 625, 589, 949, 728, 105. So, keep reading to learn more.
Given numbers are 625,589,949,728,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,589,949,728,105 is 58690905000.
Find LCM of 625,589,949,728,105 with Prime Factorization
| 5 | 625, 589, 949, 728, 105 |
| 7 | 125, 589, 949, 728, 21 |
| 13 | 125, 589, 949, 104, 3 |
| 125, 589, 73, 8, 3 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 13 x 125 x 589 x 73 x 8 x 3 = 58690905000
Therefore, the lowest common multiple of 625,589,949,728,105 is 58690905000.
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.
625 x 589 x 949 x 728 x 105 = 26704361775000
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.
625 : 1, 5, 25, 125, 625
589 : 1, 19, 31, 589
949 : 1, 13, 73, 949
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,589,949,728,105, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
589:19x 31
949:13x 73
728:2x 2x 2x 7x 13
105:3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 13 = 455
Therefore, the value for common factors is 455.
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 = 26704361775000/(1x455)
LCM = 26704361775000/455
LCM = 58690905000
Thus, we can understand that the LCM of 625,589,949,728,105 is 58690905000.
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FAQs on LCM of 625, 589, 949, 728, 105
1. What is the LCM of 625, 589, 949, 728, 105?
Answer: LCM of 625, 589, 949, 728, 105 is 58690905000.
2. How to calculate the LCM of 625, 589, 949, 728, 105?
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 625, 589, 949, 728, 105.
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}.