LCM of 835, 814, 855, 999
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 814, 855, 999 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, 814, 855, 999. So, keep reading to learn more.
Given numbers are 835,814,855,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,814,855,999 is 348680970.
Find LCM of 835,814,855,999 with Prime Factorization
| 3 | 835, 814, 855, 999 |
| 3 | 835, 814, 285, 333 |
| 5 | 835, 814, 95, 111 |
| 37 | 167, 814, 19, 111 |
| 167, 22, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 37 x 167 x 22 x 19 x 3 = 348680970
Therefore, the lowest common multiple of 835,814,855,999 is 348680970.
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 814 x 855 x 999 = 580553815050
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
999 : 1, 3, 9, 27, 37, 111, 333, 999
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,814,855,999, is 1.
Now, the common factors can be found like this.
835:5x 167
814:2x 11x 37
855:3x 3x 5x 19
999:3x 3x 3x 37
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 5x 37 = 1665
Therefore, the value for common factors is 1665.
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 = 580553815050/(1x1665)
LCM = 580553815050/1665
LCM = 348680970
Thus, we can understand that the LCM of 835,814,855,999 is 348680970.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 835, 814, 855, 999
1. What is the LCM of 835, 814, 855, 999?
Answer: LCM of 835, 814, 855, 999 is 348680970.
2. How to calculate the LCM of 835, 814, 855, 999?
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, 814, 855, 999.
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}.