Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/979, 880/789, 797/634 quickly i.e. 46991120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/979, 880/789, 797/634 is 46991120.
LCM(67/979, 880/789, 797/634) = 46991120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/979,880/789,797/634
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 67,880,797
Least Common Multiple of Numerators i.e. LCM of 67,880,797 is 46991120.
GCF of Denominators means GCF of 979,789,634 as per the given fractions.
GCF of 979,789,634 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,880,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 46991120
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 67,880,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,880,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,880,797) x common factors =1 x 1 = 1
LCM(67,880,797) = ( 67 × 880 × 797 ) / 1
LCM(67,880,797) = 46991120 / 1
LCM(67,880,797) = 46991120
Lets's calculate GCF of 979,789,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46991120/1
Therefore the LCM of Fractions 67/979,880/789,797/634 is 46991120
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Greatest Common Factor
We found the factors 979,789,634 . The biggest common factor number is the GCF number.
So the greatest common factor 979,789,634 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 67/979, 880/789, 797/634?
Answer: LCM of Numerators as per given numbers 67/979, 880/789, 797/634 is
LCM of Numerators i.e. for 67,880,797 is 46991120
GCF of denominators i.e. for 979,789,634 is 1.
Thus, LCM of Fractions is 46991120.Finally, LCM of Fractions for 67/979, 880/789, 797/634 is 46991120.