Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 757/54, 761/1201 quickly i.e. 576077 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 757/54, 761/1201 is 576077.
LCM(757/54, 761/1201) = 576077
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 757/54,761/1201
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 757,761
Least Common Multiple of Numerators i.e. LCM of 757,761 is 576077.
GCF of Denominators means GCF of 54,1201 as per the given fractions.
GCF of 54,1201 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 757,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 576077
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 757,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,761) x common factors =1 x 1 = 1
LCM(757,761) = ( 757 × 761 ) / 1
LCM(757,761) = 576077 / 1
LCM(757,761) = 576077
Lets's calculate GCF of 54,1201
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 576077/1
Therefore the LCM of Fractions 757/54,761/1201 is 576077
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 1201
List of positive integer factors of 1201 that divides 1201 without a remainder.
1,1201
Greatest Common Factor
We found the factors 54,1201 . The biggest common factor number is the GCF number.
So the greatest common factor 54,1201 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 757/54, 761/1201?
Answer: LCM of Numerators as per given numbers 757/54, 761/1201 is
LCM of Numerators i.e. for 757,761 is 576077
GCF of denominators i.e. for 54,1201 is 1.
Thus, LCM of Fractions is 576077.Finally, LCM of Fractions for 757/54, 761/1201 is 576077.