LCM of 843, 220, 891, 621
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 220, 891, 621 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 843, 220, 891, 621. So, keep reading to learn more.
Given numbers are 843,220,891,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,220,891,621 is 115170660.
Find LCM of 843,220,891,621 with Prime Factorization
| 3 | 843, 220, 891, 621 |
| 3 | 281, 220, 297, 207 |
| 3 | 281, 220, 99, 69 |
| 11 | 281, 220, 33, 23 |
| 281, 20, 3, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 11 x 281 x 20 x 3 x 23 = 115170660
Therefore, the lowest common multiple of 843,220,891,621 is 115170660.
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.
843 x 220 x 891 x 621 = 102617058060
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.
843 : 1, 3, 281, 843
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,220,891,621, is 1.
Now, the common factors can be found like this.
843:3x 281
220:2x 2x 5x 11
891:3x 3x 3x 3x 11
621:3x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 11 = 891
Therefore, the value for common factors is 891.
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 = 102617058060/(1x891)
LCM = 102617058060/891
LCM = 115170660
Thus, we can understand that the LCM of 843,220,891,621 is 115170660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 843, 220, 891, 621
1. What is the LCM of 843, 220, 891, 621?
Answer: LCM of 843, 220, 891, 621 is 115170660.
2. How to calculate the LCM of 843, 220, 891, 621?
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 843, 220, 891, 621.
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}.