Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 757/81, 760/4958 quickly i.e. 575320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 757/81, 760/4958 is 575320.
LCM(757/81, 760/4958) = 575320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 757/81,760/4958
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 757,760
Least Common Multiple of Numerators i.e. LCM of 757,760 is 575320.
GCF of Denominators means GCF of 81,4958 as per the given fractions.
GCF of 81,4958 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 757,760
Given numbers has no common factors except 1. So, there LCM is their product i.e 575320
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 757,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,760) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,760) x common factors =1 x 1 = 1
LCM(757,760) = ( 757 × 760 ) / 1
LCM(757,760) = 575320 / 1
LCM(757,760) = 575320
Lets's calculate GCF of 81,4958
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 575320/1
Therefore the LCM of Fractions 757/81,760/4958 is 575320
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 4958
List of positive integer factors of 4958 that divides 4958 without a remainder.
1,2,37,67,74,134,2479,4958
Greatest Common Factor
We found the factors 81,4958 . The biggest common factor number is the GCF number.
So the greatest common factor 81,4958 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 757/81, 760/4958?
Answer: LCM of Numerators as per given numbers 757/81, 760/4958 is
LCM of Numerators i.e. for 757,760 is 575320
GCF of denominators i.e. for 81,4958 is 1.
Thus, LCM of Fractions is 575320.Finally, LCM of Fractions for 757/81, 760/4958 is 575320.