Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 932/668, 378/987, 548/986 quickly i.e. 24132276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 932/668, 378/987, 548/986 is 24132276.
LCM(932/668, 378/987, 548/986) = 24132276
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 932/668,378/987,548/986
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 932,378,548
Least Common Multiple of Numerators i.e. LCM of 932,378,548 is 24132276.
GCF of Denominators means GCF of 668,987,986 as per the given fractions.
GCF of 668,987,986 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 932,378,548
2 | 932, 378, 548 |
2 | 466, 189, 274 |
233, 189, 137 |
∴ So the LCM of the given numbers is 2 x 2 x 233 x 189 x 137 = 24132276
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 932,378,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,378,548) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(932,378,548) x common factors =2 x 4 = 8
LCM(932,378,548) = ( 932 × 378 × 548 ) / 8
LCM(932,378,548) = 193058208 / 8
LCM(932,378,548) = 24132276
Lets's calculate GCF of 668,987,986
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24132276/1
Therefore the LCM of Fractions 932/668,378/987,548/986 is 24132276
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Greatest Common Factor
We found the factors 668,987,986 . The biggest common factor number is the GCF number.
So the greatest common factor 668,987,986 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 932/668, 378/987, 548/986?
Answer: LCM of Numerators as per given numbers 932/668, 378/987, 548/986 is
LCM of Numerators i.e. for 932,378,548 is 24132276
GCF of denominators i.e. for 668,987,986 is 1.
Thus, LCM of Fractions is 24132276.Finally, LCM of Fractions for 932/668, 378/987, 548/986 is 24132276.