LCM of 923, 843, 213, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 843, 213, 805 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 923, 843, 213, 805. So, keep reading to learn more.
Given numbers are 923,843,213,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,843,213,805 is 626361645.
Find LCM of 923,843,213,805 with Prime Factorization
| 3 | 923, 843, 213, 805 |
| 71 | 923, 281, 71, 805 |
| 13, 281, 1, 805 |
Multiply the prime numbers at the bottom and the left side.
3 x 71 x 13 x 281 x 1 x 805 = 626361645
Therefore, the lowest common multiple of 923,843,213,805 is 626361645.
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.
923 x 843 x 213 x 805 = 133415030385
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.
923 : 1, 13, 71, 923
843 : 1, 3, 281, 843
213 : 1, 3, 71, 213
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,843,213,805, is 1.
Now, the common factors can be found like this.
923:13x 71
843:3x 281
213:3x 71
805:5x 7x 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 71 = 213
Therefore, the value for common factors is 213.
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 = 133415030385/(1x213)
LCM = 133415030385/213
LCM = 626361645
Thus, we can understand that the LCM of 923,843,213,805 is 626361645.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 923, 843, 213, 805
1. What is the LCM of 923, 843, 213, 805?
Answer: LCM of 923, 843, 213, 805 is 626361645.
2. How to calculate the LCM of 923, 843, 213, 805?
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 923, 843, 213, 805.
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}.