LCM of 835, 858, 528, 921, 827
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 858, 528, 921, 827 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 835, 858, 528, 921, 827. So, keep reading to learn more.
Given numbers are 835,858,528,921,827
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,858,528,921,827 is 1455149570160.
Find LCM of 835,858,528,921,827 with Prime Factorization
| 2 | 835, 858, 528, 921, 827 |
| 3 | 835, 429, 264, 921, 827 |
| 11 | 835, 143, 88, 307, 827 |
| 835, 13, 8, 307, 827 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 835 x 13 x 8 x 307 x 827 = 1455149570160
Therefore, the lowest common multiple of 835,858,528,921,827 is 1455149570160.
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.
835 x 858 x 528 x 921 x 827 = 288119614891680
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.
835 : 1, 5, 167, 835
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
921 : 1, 3, 307, 921
827 : 1, 827
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,858,528,921,827, is 1.
Now, the common factors can be found like this.
835:5x 167
858:2x 3x 11x 13
528:2x 2x 2x 2x 3x 11
921:3x 307
827:827
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 288119614891680/(1x198)
LCM = 288119614891680/198
LCM = 1455149570160
Thus, we can understand that the LCM of 835,858,528,921,827 is 1455149570160.
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FAQs on LCM of 835, 858, 528, 921, 827
1. What is the LCM of 835, 858, 528, 921, 827?
Answer: LCM of 835, 858, 528, 921, 827 is 1455149570160.
2. How to calculate the LCM of 835, 858, 528, 921, 827?
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 835, 858, 528, 921, 827.
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}.