LCM of 711, 330, 835, 796
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 711, 330, 835, 796 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 711, 330, 835, 796. So, keep reading to learn more.
Given numbers are 711,330,835,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,330,835,796 is 5198305860.
Find LCM of 711,330,835,796 with Prime Factorization
| 2 | 711, 330, 835, 796 |
| 3 | 711, 165, 835, 398 |
| 5 | 237, 55, 835, 398 |
| 237, 11, 167, 398 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 237 x 11 x 167 x 398 = 5198305860
Therefore, the lowest common multiple of 711,330,835,796 is 5198305860.
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.
711 x 330 x 835 x 796 = 155949175800
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.
711 : 1, 3, 9, 79, 237, 711
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
835 : 1, 5, 167, 835
796 : 1, 2, 4, 199, 398, 796
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,330,835,796, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
330:2x 3x 5x 11
835:5x 167
796:2x 2x 199
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 5 = 30
Therefore, the value for common factors is 30.
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 = 155949175800/(1x30)
LCM = 155949175800/30
LCM = 5198305860
Thus, we can understand that the LCM of 711,330,835,796 is 5198305860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 711, 330, 835, 796
1. What is the LCM of 711, 330, 835, 796?
Answer: LCM of 711, 330, 835, 796 is 5198305860.
2. How to calculate the LCM of 711, 330, 835, 796?
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 711, 330, 835, 796.
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}.