Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2110/778, 1861/3943 quickly i.e. 3926710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2110/778, 1861/3943 is 3926710.
LCM(2110/778, 1861/3943) = 3926710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2110/778,1861/3943
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 2110,1861
Least Common Multiple of Numerators i.e. LCM of 2110,1861 is 3926710.
GCF of Denominators means GCF of 778,3943 as per the given fractions.
GCF of 778,3943 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2110,1861
Given numbers has no common factors except 1. So, there LCM is their product i.e 3926710
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 2110,1861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2110,1861) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2110,1861) x common factors =1 x 1 = 1
LCM(2110,1861) = ( 2110 × 1861 ) / 1
LCM(2110,1861) = 3926710 / 1
LCM(2110,1861) = 3926710
Lets's calculate GCF of 778,3943
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3926710/1
Therefore the LCM of Fractions 2110/778,1861/3943 is 3926710
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 3943
List of positive integer factors of 3943 that divides 3943 without a remainder.
1,3943
Greatest Common Factor
We found the factors 778,3943 . The biggest common factor number is the GCF number.
So the greatest common factor 778,3943 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 2110/778, 1861/3943?
Answer: LCM of Numerators as per given numbers 2110/778, 1861/3943 is
LCM of Numerators i.e. for 2110,1861 is 3926710
GCF of denominators i.e. for 778,3943 is 1.
Thus, LCM of Fractions is 3926710.Finally, LCM of Fractions for 2110/778, 1861/3943 is 3926710.