Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 714/95, 403/2690 quickly i.e. 287742/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 714/95, 403/2690 is 287742/5.
LCM(714/95, 403/2690) = 287742/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 714/95,403/2690
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 714,403
Least Common Multiple of Numerators i.e. LCM of 714,403 is 287742.
GCF of Denominators means GCF of 95,2690 as per the given fractions.
GCF of 95,2690 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 714,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 287742
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 714,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(714,403) x common factors =1 x 1 = 1
LCM(714,403) = ( 714 × 403 ) / 1
LCM(714,403) = 287742 / 1
LCM(714,403) = 287742
Lets's calculate GCF of 95,2690
5 | 95, 2690 |
19, 538 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287742/5
Therefore the LCM of Fractions 714/95,403/2690 is 287742/5
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 2690
List of positive integer factors of 2690 that divides 2690 without a remainder.
1,2,5,10,269,538,1345,2690
Greatest Common Factor
We found the factors 95,2690 . The biggest common factor number is the GCF number.
So the greatest common factor 95,2690 is 5.
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 714/95, 403/2690?
Answer: LCM of Numerators as per given numbers 714/95, 403/2690 is
LCM of Numerators i.e. for 714,403 is 287742
GCF of denominators i.e. for 95,2690 is 5.
Thus, LCM of Fractions is 287742/5.Finally, LCM of Fractions for 714/95, 403/2690 is 287742/5.