Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4398/703, 9757/108 quickly i.e. 42911286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4398/703, 9757/108 is 42911286.
LCM(4398/703, 9757/108) = 42911286
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4398/703,9757/108
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 4398,9757
Least Common Multiple of Numerators i.e. LCM of 4398,9757 is 42911286.
GCF of Denominators means GCF of 703,108 as per the given fractions.
GCF of 703,108 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4398,9757
Given numbers has no common factors except 1. So, there LCM is their product i.e 42911286
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 4398,9757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4398,9757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4398,9757) x common factors =1 x 1 = 1
LCM(4398,9757) = ( 4398 × 9757 ) / 1
LCM(4398,9757) = 42911286 / 1
LCM(4398,9757) = 42911286
Lets's calculate GCF of 703,108
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42911286/1
Therefore the LCM of Fractions 4398/703,9757/108 is 42911286
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 703,108 . The biggest common factor number is the GCF number.
So the greatest common factor 703,108 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 4398/703, 9757/108?
Answer: LCM of Numerators as per given numbers 4398/703, 9757/108 is
LCM of Numerators i.e. for 4398,9757 is 42911286
GCF of denominators i.e. for 703,108 is 1.
Thus, LCM of Fractions is 42911286.Finally, LCM of Fractions for 4398/703, 9757/108 is 42911286.