LCM of 439, 364, 575, 450, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 439, 364, 575, 450, 845 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 439, 364, 575, 450, 845. So, keep reading to learn more.
Given numbers are 439,364,575,450,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,364,575,450,845 is 10750275900.
Find LCM of 439,364,575,450,845 with Prime Factorization
| 2 | 439, 364, 575, 450, 845 |
| 5 | 439, 182, 575, 225, 845 |
| 5 | 439, 182, 115, 45, 169 |
| 13 | 439, 182, 23, 9, 169 |
| 439, 14, 23, 9, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 13 x 439 x 14 x 23 x 9 x 13 = 10750275900
Therefore, the lowest common multiple of 439,364,575,450,845 is 10750275900.
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.
439 x 364 x 575 x 450 x 845 = 34938396675000
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.
439 : 1, 439
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
575 : 1, 5, 23, 25, 115, 575
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,364,575,450,845, is 1.
Now, the common factors can be found like this.
439:439
364:2x 2x 7x 13
575:5x 5x 23
450:2x 3x 3x 5x 5
845:5x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5x 13 = 3250
Therefore, the value for common factors is 3250.
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 = 34938396675000/(1x3250)
LCM = 34938396675000/3250
LCM = 10750275900
Thus, we can understand that the LCM of 439,364,575,450,845 is 10750275900.
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FAQs on LCM of 439, 364, 575, 450, 845
1. What is the LCM of 439, 364, 575, 450, 845?
Answer: LCM of 439, 364, 575, 450, 845 is 10750275900.
2. How to calculate the LCM of 439, 364, 575, 450, 845?
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 439, 364, 575, 450, 845.
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}.