Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 995/274, 7761/7377 quickly i.e. 38805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 995/274, 7761/7377 is 38805.
LCM(995/274, 7761/7377) = 38805
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 995/274,7761/7377
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 995,7761
Least Common Multiple of Numerators i.e. LCM of 995,7761 is 38805.
GCF of Denominators means GCF of 274,7377 as per the given fractions.
GCF of 274,7377 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 995,7761
199 | 995, 7761 |
5, 39 |
∴ So the LCM of the given numbers is 199 x 5 x 39 = 38805
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 995,7761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,7761) = 199
common factors(in case of two or more numbers have common factors) = 1
GCF(995,7761) x common factors =199 x 1 = 199
LCM(995,7761) = ( 995 × 7761 ) / 199
LCM(995,7761) = 7722195 / 199
LCM(995,7761) = 38805
Lets's calculate GCF of 274,7377
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38805/1
Therefore the LCM of Fractions 995/274,7761/7377 is 38805
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 7377
List of positive integer factors of 7377 that divides 7377 without a remainder.
1,3,2459,7377
Greatest Common Factor
We found the factors 274,7377 . The biggest common factor number is the GCF number.
So the greatest common factor 274,7377 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 995/274, 7761/7377?
Answer: LCM of Numerators as per given numbers 995/274, 7761/7377 is
LCM of Numerators i.e. for 995,7761 is 38805
GCF of denominators i.e. for 274,7377 is 1.
Thus, LCM of Fractions is 38805.Finally, LCM of Fractions for 995/274, 7761/7377 is 38805.