Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/856, 858/834, 904/234 quickly i.e. 3296436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/856, 858/834, 904/234 is 3296436.
LCM(68/856, 858/834, 904/234) = 3296436
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/856,858/834,904/234
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 68,858,904
Least Common Multiple of Numerators i.e. LCM of 68,858,904 is 6592872.
GCF of Denominators means GCF of 856,834,234 as per the given fractions.
GCF of 856,834,234 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,858,904
2 | 68, 858, 904 |
2 | 34, 429, 452 |
17, 429, 226 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 429 x 226 = 6592872
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 68,858,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,858,904) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(68,858,904) x common factors =2 x 4 = 8
LCM(68,858,904) = ( 68 × 858 × 904 ) / 8
LCM(68,858,904) = 52742976 / 8
LCM(68,858,904) = 6592872
Lets's calculate GCF of 856,834,234
2 | 856, 834, 234 |
428, 417, 117 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6592872/2
Therefore the LCM of Fractions 68/856,858/834,904/234 is 3296436
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 856,834,234 . The biggest common factor number is the GCF number.
So the greatest common factor 856,834,234 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 68/856, 858/834, 904/234?
Answer: LCM of Numerators as per given numbers 68/856, 858/834, 904/234 is
LCM of Numerators i.e. for 68,858,904 is 6592872
GCF of denominators i.e. for 856,834,234 is 2.
Thus, LCM of Fractions is 3296436.Finally, LCM of Fractions for 68/856, 858/834, 904/234 is 3296436.