LCM of 822, 851, 644, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 851, 644, 848 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 822, 851, 644, 848. So, keep reading to learn more.
Given numbers are 822,851,644,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,851,644,848 is 2076181296.
Find LCM of 822,851,644,848 with Prime Factorization
| 2 | 822, 851, 644, 848 |
| 2 | 411, 851, 322, 424 |
| 23 | 411, 851, 161, 212 |
| 411, 37, 7, 212 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 411 x 37 x 7 x 212 = 2076181296
Therefore, the lowest common multiple of 822,851,644,848 is 2076181296.
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.
822 x 851 x 644 x 848 = 382017358464
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
851 : 1, 23, 37, 851
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,851,644,848, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
851:23x 37
644:2x 2x 7x 23
848:2x 2x 2x 2x 53
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 2x 23 = 184
Therefore, the value for common factors is 184.
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 = 382017358464/(1x184)
LCM = 382017358464/184
LCM = 2076181296
Thus, we can understand that the LCM of 822,851,644,848 is 2076181296.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 851, 644, 848
1. What is the LCM of 822, 851, 644, 848?
Answer: LCM of 822, 851, 644, 848 is 2076181296.
2. How to calculate the LCM of 822, 851, 644, 848?
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 822, 851, 644, 848.
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}.