Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/31, 8/51, 23/56, 25/910 quickly i.e. 32200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/31, 8/51, 23/56, 25/910 is 32200.
LCM(7/31, 8/51, 23/56, 25/910) = 32200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/31,8/51,23/56,25/910
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 7,8,23,25
Least Common Multiple of Numerators i.e. LCM of 7,8,23,25 is 32200.
GCF of Denominators means GCF of 31,51,56,910 as per the given fractions.
GCF of 31,51,56,910 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,8,23,25
Given numbers has no common factors except 1. So, there LCM is their product i.e 32200
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 7,8,23,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,8,23,25) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,8,23,25) x common factors =1 x 1 = 1
LCM(7,8,23,25) = ( 7 × 8 × 23 × 25 ) / 1
LCM(7,8,23,25) = 32200 / 1
LCM(7,8,23,25) = 32200
Lets's calculate GCF of 31,51,56,910
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32200/1
Therefore the LCM of Fractions 7/31,8/51,23/56,25/910 is 32200
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 31,51,56,910 . The biggest common factor number is the GCF number.
So the greatest common factor 31,51,56,910 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 7/31, 8/51, 23/56, 25/910?
Answer: LCM of Numerators as per given numbers 7/31, 8/51, 23/56, 25/910 is
LCM of Numerators i.e. for 7,8,23,25 is 32200
GCF of denominators i.e. for 31,51,56,910 is 1.
Thus, LCM of Fractions is 32200.Finally, LCM of Fractions for 7/31, 8/51, 23/56, 25/910 is 32200.