Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/664, 374/659, 931/625 quickly i.e. 15668730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/664, 374/659, 931/625 is 15668730.
LCM(45/664, 374/659, 931/625) = 15668730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/664,374/659,931/625
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 45,374,931
Least Common Multiple of Numerators i.e. LCM of 45,374,931 is 15668730.
GCF of Denominators means GCF of 664,659,625 as per the given fractions.
GCF of 664,659,625 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,374,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 15668730
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 45,374,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,374,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,374,931) x common factors =1 x 1 = 1
LCM(45,374,931) = ( 45 × 374 × 931 ) / 1
LCM(45,374,931) = 15668730 / 1
LCM(45,374,931) = 15668730
Lets's calculate GCF of 664,659,625
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15668730/1
Therefore the LCM of Fractions 45/664,374/659,931/625 is 15668730
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Greatest Common Factor
We found the factors 664,659,625 . The biggest common factor number is the GCF number.
So the greatest common factor 664,659,625 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 45/664, 374/659, 931/625?
Answer: LCM of Numerators as per given numbers 45/664, 374/659, 931/625 is
LCM of Numerators i.e. for 45,374,931 is 15668730
GCF of denominators i.e. for 664,659,625 is 1.
Thus, LCM of Fractions is 15668730.Finally, LCM of Fractions for 45/664, 374/659, 931/625 is 15668730.