Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8831/232, 9778/6921 quickly i.e. 86349518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8831/232, 9778/6921 is 86349518.
LCM(8831/232, 9778/6921) = 86349518
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8831/232,9778/6921
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 8831,9778
Least Common Multiple of Numerators i.e. LCM of 8831,9778 is 86349518.
GCF of Denominators means GCF of 232,6921 as per the given fractions.
GCF of 232,6921 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8831,9778
Given numbers has no common factors except 1. So, there LCM is their product i.e 86349518
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 8831,9778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8831,9778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8831,9778) x common factors =1 x 1 = 1
LCM(8831,9778) = ( 8831 × 9778 ) / 1
LCM(8831,9778) = 86349518 / 1
LCM(8831,9778) = 86349518
Lets's calculate GCF of 232,6921
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86349518/1
Therefore the LCM of Fractions 8831/232,9778/6921 is 86349518
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Factors of 6921
List of positive integer factors of 6921 that divides 6921 without a remainder.
1,3,9,769,2307,6921
Greatest Common Factor
We found the factors 232,6921 . The biggest common factor number is the GCF number.
So the greatest common factor 232,6921 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 8831/232, 9778/6921?
Answer: LCM of Numerators as per given numbers 8831/232, 9778/6921 is
LCM of Numerators i.e. for 8831,9778 is 86349518
GCF of denominators i.e. for 232,6921 is 1.
Thus, LCM of Fractions is 86349518.Finally, LCM of Fractions for 8831/232, 9778/6921 is 86349518.