Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/546, 3860/7673 quickly i.e. 127380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/546, 3860/7673 is 127380.
LCM(33/546, 3860/7673) = 127380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/546,3860/7673
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 33,3860
Least Common Multiple of Numerators i.e. LCM of 33,3860 is 127380.
GCF of Denominators means GCF of 546,7673 as per the given fractions.
GCF of 546,7673 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,3860
Given numbers has no common factors except 1. So, there LCM is their product i.e 127380
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 33,3860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,3860) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,3860) x common factors =1 x 1 = 1
LCM(33,3860) = ( 33 × 3860 ) / 1
LCM(33,3860) = 127380 / 1
LCM(33,3860) = 127380
Lets's calculate GCF of 546,7673
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127380/1
Therefore the LCM of Fractions 33/546,3860/7673 is 127380
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Factors of 7673
List of positive integer factors of 7673 that divides 7673 without a remainder.
1,7673
Greatest Common Factor
We found the factors 546,7673 . The biggest common factor number is the GCF number.
So the greatest common factor 546,7673 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 33/546, 3860/7673?
Answer: LCM of Numerators as per given numbers 33/546, 3860/7673 is
LCM of Numerators i.e. for 33,3860 is 127380
GCF of denominators i.e. for 546,7673 is 1.
Thus, LCM of Fractions is 127380.Finally, LCM of Fractions for 33/546, 3860/7673 is 127380.