Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5043/178, 6311/664 quickly i.e. 31826373/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5043/178, 6311/664 is 31826373/2.
LCM(5043/178, 6311/664) = 31826373/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5043/178,6311/664
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 5043,6311
Least Common Multiple of Numerators i.e. LCM of 5043,6311 is 31826373.
GCF of Denominators means GCF of 178,664 as per the given fractions.
GCF of 178,664 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5043,6311
Given numbers has no common factors except 1. So, there LCM is their product i.e 31826373
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 5043,6311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5043,6311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5043,6311) x common factors =1 x 1 = 1
LCM(5043,6311) = ( 5043 × 6311 ) / 1
LCM(5043,6311) = 31826373 / 1
LCM(5043,6311) = 31826373
Lets's calculate GCF of 178,664
2 | 178, 664 |
89, 332 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31826373/2
Therefore the LCM of Fractions 5043/178,6311/664 is 31826373/2
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors 178,664 . The biggest common factor number is the GCF number.
So the greatest common factor 178,664 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 5043/178, 6311/664?
Answer: LCM of Numerators as per given numbers 5043/178, 6311/664 is
LCM of Numerators i.e. for 5043,6311 is 31826373
GCF of denominators i.e. for 178,664 is 2.
Thus, LCM of Fractions is 31826373/2.Finally, LCM of Fractions for 5043/178, 6311/664 is 31826373/2.