LCM of 828, 897, 851, 191, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 897, 851, 191, 822 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 828, 897, 851, 191, 822. So, keep reading to learn more.
Given numbers are 828,897,851,191,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,897,851,191,822 is 10421478756.
Find LCM of 828,897,851,191,822 with Prime Factorization
| 2 | 828, 897, 851, 191, 822 |
| 3 | 414, 897, 851, 191, 411 |
| 23 | 138, 299, 851, 191, 137 |
| 6, 13, 37, 191, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 6 x 13 x 37 x 191 x 137 = 10421478756
Therefore, the lowest common multiple of 828,897,851,191,822 is 10421478756.
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.
828 x 897 x 851 x 191 x 822 = 99233320714632
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
897 : 1, 3, 13, 23, 39, 69, 299, 897
851 : 1, 23, 37, 851
191 : 1, 191
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,897,851,191,822, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
897:3x 13x 23
851:23x 37
191:191
822:2x 3x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 23x 23 = 9522
Therefore, the value for common factors is 9522.
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 = 99233320714632/(1x9522)
LCM = 99233320714632/9522
LCM = 10421478756
Thus, we can understand that the LCM of 828,897,851,191,822 is 10421478756.
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FAQs on LCM of 828, 897, 851, 191, 822
1. What is the LCM of 828, 897, 851, 191, 822?
Answer: LCM of 828, 897, 851, 191, 822 is 10421478756.
2. How to calculate the LCM of 828, 897, 851, 191, 822?
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 828, 897, 851, 191, 822.
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}.