Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/938, 34/888, 864/668 quickly i.e. 492048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/938, 34/888, 864/668 is 492048.
LCM(67/938, 34/888, 864/668) = 492048
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/938,34/888,864/668
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 67,34,864
Least Common Multiple of Numerators i.e. LCM of 67,34,864 is 984096.
GCF of Denominators means GCF of 938,888,668 as per the given fractions.
GCF of 938,888,668 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,34,864
2 | 67, 34, 864 |
67, 17, 432 |
∴ So the LCM of the given numbers is 2 x 67 x 17 x 432 = 984096
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 67,34,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,34,864) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(67,34,864) x common factors =1 x 2 = 2
LCM(67,34,864) = ( 67 × 34 × 864 ) / 2
LCM(67,34,864) = 1968192 / 2
LCM(67,34,864) = 984096
Lets's calculate GCF of 938,888,668
2 | 938, 888, 668 |
469, 444, 334 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 984096/2
Therefore the LCM of Fractions 67/938,34/888,864/668 is 492048
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Greatest Common Factor
We found the factors 938,888,668 . The biggest common factor number is the GCF number.
So the greatest common factor 938,888,668 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 67/938, 34/888, 864/668?
Answer: LCM of Numerators as per given numbers 67/938, 34/888, 864/668 is
LCM of Numerators i.e. for 67,34,864 is 984096
GCF of denominators i.e. for 938,888,668 is 2.
Thus, LCM of Fractions is 492048.Finally, LCM of Fractions for 67/938, 34/888, 864/668 is 492048.