Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/712, 25/800, 331/941 quickly i.e. 380650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/712, 25/800, 331/941 is 380650.
LCM(46/712, 25/800, 331/941) = 380650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/712,25/800,331/941
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 46,25,331
Least Common Multiple of Numerators i.e. LCM of 46,25,331 is 380650.
GCF of Denominators means GCF of 712,800,941 as per the given fractions.
GCF of 712,800,941 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,25,331
Given numbers has no common factors except 1. So, there LCM is their product i.e 380650
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 46,25,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,25,331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,25,331) x common factors =1 x 1 = 1
LCM(46,25,331) = ( 46 × 25 × 331 ) / 1
LCM(46,25,331) = 380650 / 1
LCM(46,25,331) = 380650
Lets's calculate GCF of 712,800,941
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 380650/1
Therefore the LCM of Fractions 46/712,25/800,331/941 is 380650
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Greatest Common Factor
We found the factors 712,800,941 . The biggest common factor number is the GCF number.
So the greatest common factor 712,800,941 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 46/712, 25/800, 331/941?
Answer: LCM of Numerators as per given numbers 46/712, 25/800, 331/941 is
LCM of Numerators i.e. for 46,25,331 is 380650
GCF of denominators i.e. for 712,800,941 is 1.
Thus, LCM of Fractions is 380650.Finally, LCM of Fractions for 46/712, 25/800, 331/941 is 380650.