Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2340/688, 7741/763 quickly i.e. 18113940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2340/688, 7741/763 is 18113940.
LCM(2340/688, 7741/763) = 18113940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2340/688,7741/763
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 2340,7741
Least Common Multiple of Numerators i.e. LCM of 2340,7741 is 18113940.
GCF of Denominators means GCF of 688,763 as per the given fractions.
GCF of 688,763 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2340,7741
Given numbers has no common factors except 1. So, there LCM is their product i.e 18113940
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 2340,7741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2340,7741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2340,7741) x common factors =1 x 1 = 1
LCM(2340,7741) = ( 2340 × 7741 ) / 1
LCM(2340,7741) = 18113940 / 1
LCM(2340,7741) = 18113940
Lets's calculate GCF of 688,763
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18113940/1
Therefore the LCM of Fractions 2340/688,7741/763 is 18113940
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Greatest Common Factor
We found the factors 688,763 . The biggest common factor number is the GCF number.
So the greatest common factor 688,763 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 2340/688, 7741/763?
Answer: LCM of Numerators as per given numbers 2340/688, 7741/763 is
LCM of Numerators i.e. for 2340,7741 is 18113940
GCF of denominators i.e. for 688,763 is 1.
Thus, LCM of Fractions is 18113940.Finally, LCM of Fractions for 2340/688, 7741/763 is 18113940.