LCM of 834, 899, 322, 695, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 899, 322, 695, 279 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 834, 899, 322, 695, 279. So, keep reading to learn more.
Given numbers are 834,899,322,695,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,899,322,695,279 is 1810684890.
Find LCM of 834,899,322,695,279 with Prime Factorization
| 2 | 834, 899, 322, 695, 279 |
| 3 | 417, 899, 161, 695, 279 |
| 31 | 139, 899, 161, 695, 93 |
| 139 | 139, 29, 161, 695, 3 |
| 1, 29, 161, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 139 x 1 x 29 x 161 x 5 x 3 = 1810684890
Therefore, the lowest common multiple of 834,899,322,695,279 is 1810684890.
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.
834 x 899 x 322 x 695 x 279 = 46813447146060
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
899 : 1, 29, 31, 899
322 : 1, 2, 7, 14, 23, 46, 161, 322
695 : 1, 5, 139, 695
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,899,322,695,279, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
899:29x 31
322:2x 7x 23
695:5x 139
279:3x 3x 31
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 31x 139 = 25854
Therefore, the value for common factors is 25854.
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 = 46813447146060/(1x25854)
LCM = 46813447146060/25854
LCM = 1810684890
Thus, we can understand that the LCM of 834,899,322,695,279 is 1810684890.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 834, 899, 322, 695, 279
1. What is the LCM of 834, 899, 322, 695, 279?
Answer: LCM of 834, 899, 322, 695, 279 is 1810684890.
2. How to calculate the LCM of 834, 899, 322, 695, 279?
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 834, 899, 322, 695, 279.
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}.