LCM of 843, 869, 897, 765, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 869, 897, 765, 561 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, 869, 897, 765, 561. So, keep reading to learn more.
Given numbers are 843,869,897,765,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,869,897,765,561 is 55854570915.
Find LCM of 843,869,897,765,561 with Prime Factorization
| 3 | 843, 869, 897, 765, 561 |
| 11 | 281, 869, 299, 255, 187 |
| 17 | 281, 79, 299, 255, 17 |
| 281, 79, 299, 15, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 281 x 79 x 299 x 15 x 1 = 55854570915
Therefore, the lowest common multiple of 843,869,897,765,561 is 55854570915.
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 869 x 897 x 765 x 561 = 282009728549835
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
869 : 1, 11, 79, 869
897 : 1, 3, 13, 23, 39, 69, 299, 897
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,869,897,765,561, is 1.
Now, the common factors can be found like this.
843:3x 281
869:11x 79
897:3x 13x 23
765:3x 3x 5x 17
561:3x 11x 17
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 11x 17 = 5049
Therefore, the value for common factors is 5049.
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 = 282009728549835/(1x5049)
LCM = 282009728549835/5049
LCM = 55854570915
Thus, we can understand that the LCM of 843,869,897,765,561 is 55854570915.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 843, 869, 897, 765, 561
1. What is the LCM of 843, 869, 897, 765, 561?
Answer: LCM of 843, 869, 897, 765, 561 is 55854570915.
2. How to calculate the LCM of 843, 869, 897, 765, 561?
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, 869, 897, 765, 561.
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}.