LCM of 835, 917, 846, 963, 798
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 917, 846, 963, 798 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, 917, 846, 963, 798. So, keep reading to learn more.
Given numbers are 835,917,846,963,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,917,846,963,798 is 1316932613010.
Find LCM of 835,917,846,963,798 with Prime Factorization
| 2 | 835, 917, 846, 963, 798 |
| 3 | 835, 917, 423, 963, 399 |
| 3 | 835, 917, 141, 321, 133 |
| 7 | 835, 917, 47, 107, 133 |
| 835, 131, 47, 107, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 835 x 131 x 47 x 107 x 19 = 1316932613010
Therefore, the lowest common multiple of 835,917,846,963,798 is 1316932613010.
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 917 x 846 x 963 x 798 = 497800527717780
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
917 : 1, 7, 131, 917
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
963 : 1, 3, 9, 107, 321, 963
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,917,846,963,798, is 1.
Now, the common factors can be found like this.
835:5x 167
917:7x 131
846:2x 3x 3x 47
963:3x 3x 107
798:2x 3x 7x 19
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 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 497800527717780/(1x378)
LCM = 497800527717780/378
LCM = 1316932613010
Thus, we can understand that the LCM of 835,917,846,963,798 is 1316932613010.
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FAQs on LCM of 835, 917, 846, 963, 798
1. What is the LCM of 835, 917, 846, 963, 798?
Answer: LCM of 835, 917, 846, 963, 798 is 1316932613010.
2. How to calculate the LCM of 835, 917, 846, 963, 798?
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, 917, 846, 963, 798.
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}.