LCM of 850, 825, 918, 382, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 850, 825, 918, 382, 897 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 850, 825, 918, 382, 897. So, keep reading to learn more.
Given numbers are 850,825,918,382,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 850,825,918,382,897 is 14417167050.
Find LCM of 850,825,918,382,897 with Prime Factorization
| 2 | 850, 825, 918, 382, 897 |
| 3 | 425, 825, 459, 191, 897 |
| 5 | 425, 275, 153, 191, 299 |
| 5 | 85, 55, 153, 191, 299 |
| 17 | 17, 11, 153, 191, 299 |
| 1, 11, 9, 191, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 17 x 1 x 11 x 9 x 191 x 299 = 14417167050
Therefore, the lowest common multiple of 850,825,918,382,897 is 14417167050.
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.
850 x 825 x 918 x 382 x 897 = 220582655865000
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.
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
382 : 1, 2, 191, 382
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,825,918,382,897, is 1.
Now, the common factors can be found like this.
850:2x 5x 5x 17
825:3x 5x 5x 11
918:2x 3x 3x 3x 17
382:2x 191
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 5x 5x 17 = 15300
Therefore, the value for common factors is 15300.
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 = 220582655865000/(1x15300)
LCM = 220582655865000/15300
LCM = 14417167050
Thus, we can understand that the LCM of 850,825,918,382,897 is 14417167050.
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FAQs on LCM of 850, 825, 918, 382, 897
1. What is the LCM of 850, 825, 918, 382, 897?
Answer: LCM of 850, 825, 918, 382, 897 is 14417167050.
2. How to calculate the LCM of 850, 825, 918, 382, 897?
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 850, 825, 918, 382, 897.
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}.