Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/51, 48/649, 625/896 quickly i.e. 930000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/51, 48/649, 625/896 is 930000.
LCM(31/51, 48/649, 625/896) = 930000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/51,48/649,625/896
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 31,48,625
Least Common Multiple of Numerators i.e. LCM of 31,48,625 is 930000.
GCF of Denominators means GCF of 51,649,896 as per the given fractions.
GCF of 51,649,896 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,48,625
Given numbers has no common factors except 1. So, there LCM is their product i.e 930000
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 31,48,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,48,625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,48,625) x common factors =1 x 1 = 1
LCM(31,48,625) = ( 31 × 48 × 625 ) / 1
LCM(31,48,625) = 930000 / 1
LCM(31,48,625) = 930000
Lets's calculate GCF of 51,649,896
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 930000/1
Therefore the LCM of Fractions 31/51,48/649,625/896 is 930000
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 51,649,896 . The biggest common factor number is the GCF number.
So the greatest common factor 51,649,896 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 31/51, 48/649, 625/896?
Answer: LCM of Numerators as per given numbers 31/51, 48/649, 625/896 is
LCM of Numerators i.e. for 31,48,625 is 930000
GCF of denominators i.e. for 51,649,896 is 1.
Thus, LCM of Fractions is 930000.Finally, LCM of Fractions for 31/51, 48/649, 625/896 is 930000.