Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/131, 711/264, 736/848 quickly i.e. 18315360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/131, 711/264, 736/848 is 18315360.
LCM(35/131, 711/264, 736/848) = 18315360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/131,711/264,736/848
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 35,711,736
Least Common Multiple of Numerators i.e. LCM of 35,711,736 is 18315360.
GCF of Denominators means GCF of 131,264,848 as per the given fractions.
GCF of 131,264,848 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,711,736
Given numbers has no common factors except 1. So, there LCM is their product i.e 18315360
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 35,711,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,711,736) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,711,736) x common factors =1 x 1 = 1
LCM(35,711,736) = ( 35 × 711 × 736 ) / 1
LCM(35,711,736) = 18315360 / 1
LCM(35,711,736) = 18315360
Lets's calculate GCF of 131,264,848
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18315360/1
Therefore the LCM of Fractions 35/131,711/264,736/848 is 18315360
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 131,264,848 . The biggest common factor number is the GCF number.
So the greatest common factor 131,264,848 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 35/131, 711/264, 736/848?
Answer: LCM of Numerators as per given numbers 35/131, 711/264, 736/848 is
LCM of Numerators i.e. for 35,711,736 is 18315360
GCF of denominators i.e. for 131,264,848 is 1.
Thus, LCM of Fractions is 18315360.Finally, LCM of Fractions for 35/131, 711/264, 736/848 is 18315360.