LCM of 835, 458, 334, 585, 873
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 458, 334, 585, 873 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, 458, 334, 585, 873. So, keep reading to learn more.
Given numbers are 835,458,334,585,873
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,458,334,585,873 is 4340198070.
Find LCM of 835,458,334,585,873 with Prime Factorization
| 2 | 835, 458, 334, 585, 873 |
| 3 | 835, 229, 167, 585, 873 |
| 3 | 835, 229, 167, 195, 291 |
| 5 | 835, 229, 167, 65, 97 |
| 167 | 167, 229, 167, 13, 97 |
| 1, 229, 1, 13, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 167 x 1 x 229 x 1 x 13 x 97 = 4340198070
Therefore, the lowest common multiple of 835,458,334,585,873 is 4340198070.
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 458 x 334 x 585 x 873 = 65233176992100
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
458 : 1, 2, 229, 458
334 : 1, 2, 167, 334
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
873 : 1, 3, 9, 97, 291, 873
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,458,334,585,873, is 1.
Now, the common factors can be found like this.
835:5x 167
458:2x 229
334:2x 167
585:3x 3x 5x 13
873:3x 3x 97
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 5x 167 = 15030
Therefore, the value for common factors is 15030.
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 = 65233176992100/(1x15030)
LCM = 65233176992100/15030
LCM = 4340198070
Thus, we can understand that the LCM of 835,458,334,585,873 is 4340198070.
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FAQs on LCM of 835, 458, 334, 585, 873
1. What is the LCM of 835, 458, 334, 585, 873?
Answer: LCM of 835, 458, 334, 585, 873 is 4340198070.
2. How to calculate the LCM of 835, 458, 334, 585, 873?
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, 458, 334, 585, 873.
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}.