Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5185/983, 4946/7766 quickly i.e. 25645010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5185/983, 4946/7766 is 25645010.
LCM(5185/983, 4946/7766) = 25645010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5185/983,4946/7766
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 5185,4946
Least Common Multiple of Numerators i.e. LCM of 5185,4946 is 25645010.
GCF of Denominators means GCF of 983,7766 as per the given fractions.
GCF of 983,7766 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5185,4946
Given numbers has no common factors except 1. So, there LCM is their product i.e 25645010
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 5185,4946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5185,4946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5185,4946) x common factors =1 x 1 = 1
LCM(5185,4946) = ( 5185 × 4946 ) / 1
LCM(5185,4946) = 25645010 / 1
LCM(5185,4946) = 25645010
Lets's calculate GCF of 983,7766
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25645010/1
Therefore the LCM of Fractions 5185/983,4946/7766 is 25645010
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Factors of 7766
List of positive integer factors of 7766 that divides 7766 without a remainder.
1,2,11,22,353,706,3883,7766
Greatest Common Factor
We found the factors 983,7766 . The biggest common factor number is the GCF number.
So the greatest common factor 983,7766 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 5185/983, 4946/7766?
Answer: LCM of Numerators as per given numbers 5185/983, 4946/7766 is
LCM of Numerators i.e. for 5185,4946 is 25645010
GCF of denominators i.e. for 983,7766 is 1.
Thus, LCM of Fractions is 25645010.Finally, LCM of Fractions for 5185/983, 4946/7766 is 25645010.