Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/988, 7384/3719 quickly i.e. 228904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/988, 7384/3719 is 228904.
LCM(62/988, 7384/3719) = 228904
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/988,7384/3719
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 62,7384
Least Common Multiple of Numerators i.e. LCM of 62,7384 is 228904.
GCF of Denominators means GCF of 988,3719 as per the given fractions.
GCF of 988,3719 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,7384
2 | 62, 7384 |
31, 3692 |
∴ So the LCM of the given numbers is 2 x 31 x 3692 = 228904
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 62,7384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,7384) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,7384) x common factors =2 x 1 = 2
LCM(62,7384) = ( 62 × 7384 ) / 2
LCM(62,7384) = 457808 / 2
LCM(62,7384) = 228904
Lets's calculate GCF of 988,3719
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228904/1
Therefore the LCM of Fractions 62/988,7384/3719 is 228904
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 3719
List of positive integer factors of 3719 that divides 3719 without a remainder.
1,3719
Greatest Common Factor
We found the factors 988,3719 . The biggest common factor number is the GCF number.
So the greatest common factor 988,3719 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 62/988, 7384/3719?
Answer: LCM of Numerators as per given numbers 62/988, 7384/3719 is
LCM of Numerators i.e. for 62,7384 is 228904
GCF of denominators i.e. for 988,3719 is 1.
Thus, LCM of Fractions is 228904.Finally, LCM of Fractions for 62/988, 7384/3719 is 228904.