Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1371/278, 2293/767 quickly i.e. 3143703 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1371/278, 2293/767 is 3143703.
LCM(1371/278, 2293/767) = 3143703
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1371/278,2293/767
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 1371,2293
Least Common Multiple of Numerators i.e. LCM of 1371,2293 is 3143703.
GCF of Denominators means GCF of 278,767 as per the given fractions.
GCF of 278,767 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1371,2293
Given numbers has no common factors except 1. So, there LCM is their product i.e 3143703
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 1371,2293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1371,2293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1371,2293) x common factors =1 x 1 = 1
LCM(1371,2293) = ( 1371 × 2293 ) / 1
LCM(1371,2293) = 3143703 / 1
LCM(1371,2293) = 3143703
Lets's calculate GCF of 278,767
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3143703/1
Therefore the LCM of Fractions 1371/278,2293/767 is 3143703
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Greatest Common Factor
We found the factors 278,767 . The biggest common factor number is the GCF number.
So the greatest common factor 278,767 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 1371/278, 2293/767?
Answer: LCM of Numerators as per given numbers 1371/278, 2293/767 is
LCM of Numerators i.e. for 1371,2293 is 3143703
GCF of denominators i.e. for 278,767 is 1.
Thus, LCM of Fractions is 3143703.Finally, LCM of Fractions for 1371/278, 2293/767 is 3143703.