Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4978/932, 6066/4034 quickly i.e. 7549137 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4978/932, 6066/4034 is 7549137.
LCM(4978/932, 6066/4034) = 7549137
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4978/932,6066/4034
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 4978,6066
Least Common Multiple of Numerators i.e. LCM of 4978,6066 is 15098274.
GCF of Denominators means GCF of 932,4034 as per the given fractions.
GCF of 932,4034 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4978,6066
2 | 4978, 6066 |
2489, 3033 |
∴ So the LCM of the given numbers is 2 x 2489 x 3033 = 15098274
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 4978,6066 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4978,6066) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4978,6066) x common factors =2 x 1 = 2
LCM(4978,6066) = ( 4978 × 6066 ) / 2
LCM(4978,6066) = 30196548 / 2
LCM(4978,6066) = 15098274
Lets's calculate GCF of 932,4034
2 | 932, 4034 |
466, 2017 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15098274/2
Therefore the LCM of Fractions 4978/932,6066/4034 is 7549137
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 4034
List of positive integer factors of 4034 that divides 4034 without a remainder.
1,2,2017,4034
Greatest Common Factor
We found the factors 932,4034 . The biggest common factor number is the GCF number.
So the greatest common factor 932,4034 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 4978/932, 6066/4034?
Answer: LCM of Numerators as per given numbers 4978/932, 6066/4034 is
LCM of Numerators i.e. for 4978,6066 is 15098274
GCF of denominators i.e. for 932,4034 is 2.
Thus, LCM of Fractions is 7549137.Finally, LCM of Fractions for 4978/932, 6066/4034 is 7549137.