Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/133, 445/546, 742/377 quickly i.e. 13537790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/133, 445/546, 742/377 is 13537790.
LCM(41/133, 445/546, 742/377) = 13537790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/133,445/546,742/377
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 41,445,742
Least Common Multiple of Numerators i.e. LCM of 41,445,742 is 13537790.
GCF of Denominators means GCF of 133,546,377 as per the given fractions.
GCF of 133,546,377 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,445,742
Given numbers has no common factors except 1. So, there LCM is their product i.e 13537790
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 41,445,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,445,742) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,445,742) x common factors =1 x 1 = 1
LCM(41,445,742) = ( 41 × 445 × 742 ) / 1
LCM(41,445,742) = 13537790 / 1
LCM(41,445,742) = 13537790
Lets's calculate GCF of 133,546,377
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13537790/1
Therefore the LCM of Fractions 41/133,445/546,742/377 is 13537790
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
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 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Greatest Common Factor
We found the factors 133,546,377 . The biggest common factor number is the GCF number.
So the greatest common factor 133,546,377 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 41/133, 445/546, 742/377?
Answer: LCM of Numerators as per given numbers 41/133, 445/546, 742/377 is
LCM of Numerators i.e. for 41,445,742 is 13537790
GCF of denominators i.e. for 133,546,377 is 1.
Thus, LCM of Fractions is 13537790.Finally, LCM of Fractions for 41/133, 445/546, 742/377 is 13537790.