Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/276, 3529/6857 quickly i.e. 232914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/276, 3529/6857 is 232914.
LCM(66/276, 3529/6857) = 232914
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/276,3529/6857
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 66,3529
Least Common Multiple of Numerators i.e. LCM of 66,3529 is 232914.
GCF of Denominators means GCF of 276,6857 as per the given fractions.
GCF of 276,6857 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,3529
Given numbers has no common factors except 1. So, there LCM is their product i.e 232914
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 66,3529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,3529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,3529) x common factors =1 x 1 = 1
LCM(66,3529) = ( 66 × 3529 ) / 1
LCM(66,3529) = 232914 / 1
LCM(66,3529) = 232914
Lets's calculate GCF of 276,6857
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232914/1
Therefore the LCM of Fractions 66/276,3529/6857 is 232914
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Factors of 6857
List of positive integer factors of 6857 that divides 6857 without a remainder.
1,6857
Greatest Common Factor
We found the factors 276,6857 . The biggest common factor number is the GCF number.
So the greatest common factor 276,6857 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 66/276, 3529/6857?
Answer: LCM of Numerators as per given numbers 66/276, 3529/6857 is
LCM of Numerators i.e. for 66,3529 is 232914
GCF of denominators i.e. for 276,6857 is 1.
Thus, LCM of Fractions is 232914.Finally, LCM of Fractions for 66/276, 3529/6857 is 232914.