Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 764/121, 9141/5130 quickly i.e. 6983724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 764/121, 9141/5130 is 6983724.
LCM(764/121, 9141/5130) = 6983724
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 764/121,9141/5130
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 764,9141
Least Common Multiple of Numerators i.e. LCM of 764,9141 is 6983724.
GCF of Denominators means GCF of 121,5130 as per the given fractions.
GCF of 121,5130 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 764,9141
Given numbers has no common factors except 1. So, there LCM is their product i.e 6983724
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 764,9141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,9141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,9141) x common factors =1 x 1 = 1
LCM(764,9141) = ( 764 × 9141 ) / 1
LCM(764,9141) = 6983724 / 1
LCM(764,9141) = 6983724
Lets's calculate GCF of 121,5130
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6983724/1
Therefore the LCM of Fractions 764/121,9141/5130 is 6983724
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 5130
List of positive integer factors of 5130 that divides 5130 without a remainder.
1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130
Greatest Common Factor
We found the factors 121,5130 . The biggest common factor number is the GCF number.
So the greatest common factor 121,5130 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 764/121, 9141/5130?
Answer: LCM of Numerators as per given numbers 764/121, 9141/5130 is
LCM of Numerators i.e. for 764,9141 is 6983724
GCF of denominators i.e. for 121,5130 is 1.
Thus, LCM of Fractions is 6983724.Finally, LCM of Fractions for 764/121, 9141/5130 is 6983724.