Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/778, 2047/9179 quickly i.e. 42987 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/778, 2047/9179 is 42987.
LCM(21/778, 2047/9179) = 42987
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/778,2047/9179
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 21,2047
Least Common Multiple of Numerators i.e. LCM of 21,2047 is 42987.
GCF of Denominators means GCF of 778,9179 as per the given fractions.
GCF of 778,9179 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,2047
Given numbers has no common factors except 1. So, there LCM is their product i.e 42987
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 21,2047 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,2047) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,2047) x common factors =1 x 1 = 1
LCM(21,2047) = ( 21 × 2047 ) / 1
LCM(21,2047) = 42987 / 1
LCM(21,2047) = 42987
Lets's calculate GCF of 778,9179
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42987/1
Therefore the LCM of Fractions 21/778,2047/9179 is 42987
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 9179
List of positive integer factors of 9179 that divides 9179 without a remainder.
1,67,137,9179
Greatest Common Factor
We found the factors 778,9179 . The biggest common factor number is the GCF number.
So the greatest common factor 778,9179 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 21/778, 2047/9179?
Answer: LCM of Numerators as per given numbers 21/778, 2047/9179 is
LCM of Numerators i.e. for 21,2047 is 42987
GCF of denominators i.e. for 778,9179 is 1.
Thus, LCM of Fractions is 42987.Finally, LCM of Fractions for 21/778, 2047/9179 is 42987.