Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 117/884, 982/757, 257/932 quickly i.e. 29527758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 117/884, 982/757, 257/932 is 29527758.
LCM(117/884, 982/757, 257/932) = 29527758
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 117/884,982/757,257/932
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 117,982,257
Least Common Multiple of Numerators i.e. LCM of 117,982,257 is 29527758.
GCF of Denominators means GCF of 884,757,932 as per the given fractions.
GCF of 884,757,932 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 117,982,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 29527758
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 117,982,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,982,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,982,257) x common factors =1 x 1 = 1
LCM(117,982,257) = ( 117 × 982 × 257 ) / 1
LCM(117,982,257) = 29527758 / 1
LCM(117,982,257) = 29527758
Lets's calculate GCF of 884,757,932
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29527758/1
Therefore the LCM of Fractions 117/884,982/757,257/932 is 29527758
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Greatest Common Factor
We found the factors 884,757,932 . The biggest common factor number is the GCF number.
So the greatest common factor 884,757,932 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 117/884, 982/757, 257/932?
Answer: LCM of Numerators as per given numbers 117/884, 982/757, 257/932 is
LCM of Numerators i.e. for 117,982,257 is 29527758
GCF of denominators i.e. for 884,757,932 is 1.
Thus, LCM of Fractions is 29527758.Finally, LCM of Fractions for 117/884, 982/757, 257/932 is 29527758.