Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/774, 43/871, 48/304 quickly i.e. 2064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/774, 43/871, 48/304 is 2064.
LCM(6/774, 43/871, 48/304) = 2064
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/774,43/871,48/304
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 6,43,48
Least Common Multiple of Numerators i.e. LCM of 6,43,48 is 2064.
GCF of Denominators means GCF of 774,871,304 as per the given fractions.
GCF of 774,871,304 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,43,48
2 | 6, 43, 48 |
3 | 3, 43, 24 |
1, 43, 8 |
∴ So the LCM of the given numbers is 2 x 3 x 1 x 43 x 8 = 2064
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 6,43,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,43,48) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(6,43,48) x common factors =1 x 6 = 6
LCM(6,43,48) = ( 6 × 43 × 48 ) / 6
LCM(6,43,48) = 12384 / 6
LCM(6,43,48) = 2064
Lets's calculate GCF of 774,871,304
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2064/1
Therefore the LCM of Fractions 6/774,43/871,48/304 is 2064
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 774,871,304 . The biggest common factor number is the GCF number.
So the greatest common factor 774,871,304 is 1.
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 6/774, 43/871, 48/304?
Answer: LCM of Numerators as per given numbers 6/774, 43/871, 48/304 is
LCM of Numerators i.e. for 6,43,48 is 2064
GCF of denominators i.e. for 774,871,304 is 1.
Thus, LCM of Fractions is 2064.Finally, LCM of Fractions for 6/774, 43/871, 48/304 is 2064.