Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/902, 47/988, 351/957 quickly i.e. 709371 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/902, 47/988, 351/957 is 709371.
LCM(43/902, 47/988, 351/957) = 709371
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/902,47/988,351/957
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 43,47,351
Least Common Multiple of Numerators i.e. LCM of 43,47,351 is 709371.
GCF of Denominators means GCF of 902,988,957 as per the given fractions.
GCF of 902,988,957 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,47,351
Given numbers has no common factors except 1. So, there LCM is their product i.e 709371
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 43,47,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,47,351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,47,351) x common factors =1 x 1 = 1
LCM(43,47,351) = ( 43 × 47 × 351 ) / 1
LCM(43,47,351) = 709371 / 1
LCM(43,47,351) = 709371
Lets's calculate GCF of 902,988,957
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 709371/1
Therefore the LCM of Fractions 43/902,47/988,351/957 is 709371
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
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 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 902,988,957 . The biggest common factor number is the GCF number.
So the greatest common factor 902,988,957 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 43/902, 47/988, 351/957?
Answer: LCM of Numerators as per given numbers 43/902, 47/988, 351/957 is
LCM of Numerators i.e. for 43,47,351 is 709371
GCF of denominators i.e. for 902,988,957 is 1.
Thus, LCM of Fractions is 709371.Finally, LCM of Fractions for 43/902, 47/988, 351/957 is 709371.