Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/178, 5673/4976 quickly i.e. 470859/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/178, 5673/4976 is 470859/2.
LCM(83/178, 5673/4976) = 470859/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/178,5673/4976
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 83,5673
Least Common Multiple of Numerators i.e. LCM of 83,5673 is 470859.
GCF of Denominators means GCF of 178,4976 as per the given fractions.
GCF of 178,4976 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,5673
Given numbers has no common factors except 1. So, there LCM is their product i.e 470859
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 83,5673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,5673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,5673) x common factors =1 x 1 = 1
LCM(83,5673) = ( 83 × 5673 ) / 1
LCM(83,5673) = 470859 / 1
LCM(83,5673) = 470859
Lets's calculate GCF of 178,4976
2 | 178, 4976 |
89, 2488 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470859/2
Therefore the LCM of Fractions 83/178,5673/4976 is 470859/2
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 4976
List of positive integer factors of 4976 that divides 4976 without a remainder.
1,2,4,8,16,311,622,1244,2488,4976
Greatest Common Factor
We found the factors 178,4976 . The biggest common factor number is the GCF number.
So the greatest common factor 178,4976 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 83/178, 5673/4976?
Answer: LCM of Numerators as per given numbers 83/178, 5673/4976 is
LCM of Numerators i.e. for 83,5673 is 470859
GCF of denominators i.e. for 178,4976 is 2.
Thus, LCM of Fractions is 470859/2.Finally, LCM of Fractions for 83/178, 5673/4976 is 470859/2.