LCM of 832, 543, 819, 921, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 832, 543, 819, 921, 829 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 832, 543, 819, 921, 829. So, keep reading to learn more.
Given numbers are 832,543,819,921,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 832,543,819,921,829 is 2414545293888.
Find LCM of 832,543,819,921,829 with Prime Factorization
| 3 | 832, 543, 819, 921, 829 |
| 13 | 832, 181, 273, 307, 829 |
| 64, 181, 21, 307, 829 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 64 x 181 x 21 x 307 x 829 = 2414545293888
Therefore, the lowest common multiple of 832,543,819,921,829 is 2414545293888.
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.
832 x 543 x 819 x 921 x 829 = 282501799384896
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.
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
543 : 1, 3, 181, 543
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
921 : 1, 3, 307, 921
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,543,819,921,829, is 1.
Now, the common factors can be found like this.
832:2x 2x 2x 2x 2x 2x 13
543:3x 181
819:3x 3x 7x 13
921:3x 307
829:829
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 13 = 117
Therefore, the value for common factors is 117.
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 = 282501799384896/(1x117)
LCM = 282501799384896/117
LCM = 2414545293888
Thus, we can understand that the LCM of 832,543,819,921,829 is 2414545293888.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 832, 543, 819, 921, 829
1. What is the LCM of 832, 543, 819, 921, 829?
Answer: LCM of 832, 543, 819, 921, 829 is 2414545293888.
2. How to calculate the LCM of 832, 543, 819, 921, 829?
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 832, 543, 819, 921, 829.
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}.