Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6924/179, 7115/911 quickly i.e. 49264260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6924/179, 7115/911 is 49264260.
LCM(6924/179, 7115/911) = 49264260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6924/179,7115/911
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 6924,7115
Least Common Multiple of Numerators i.e. LCM of 6924,7115 is 49264260.
GCF of Denominators means GCF of 179,911 as per the given fractions.
GCF of 179,911 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6924,7115
Given numbers has no common factors except 1. So, there LCM is their product i.e 49264260
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 6924,7115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6924,7115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6924,7115) x common factors =1 x 1 = 1
LCM(6924,7115) = ( 6924 × 7115 ) / 1
LCM(6924,7115) = 49264260 / 1
LCM(6924,7115) = 49264260
Lets's calculate GCF of 179,911
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49264260/1
Therefore the LCM of Fractions 6924/179,7115/911 is 49264260
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Greatest Common Factor
We found the factors 179,911 . The biggest common factor number is the GCF number.
So the greatest common factor 179,911 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 6924/179, 7115/911?
Answer: LCM of Numerators as per given numbers 6924/179, 7115/911 is
LCM of Numerators i.e. for 6924,7115 is 49264260
GCF of denominators i.e. for 179,911 is 1.
Thus, LCM of Fractions is 49264260.Finally, LCM of Fractions for 6924/179, 7115/911 is 49264260.