Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3017/85, 7156/811 quickly i.e. 21589652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3017/85, 7156/811 is 21589652.
LCM(3017/85, 7156/811) = 21589652
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3017/85,7156/811
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 3017,7156
Least Common Multiple of Numerators i.e. LCM of 3017,7156 is 21589652.
GCF of Denominators means GCF of 85,811 as per the given fractions.
GCF of 85,811 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3017,7156
Given numbers has no common factors except 1. So, there LCM is their product i.e 21589652
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 3017,7156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3017,7156) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3017,7156) x common factors =1 x 1 = 1
LCM(3017,7156) = ( 3017 × 7156 ) / 1
LCM(3017,7156) = 21589652 / 1
LCM(3017,7156) = 21589652
Lets's calculate GCF of 85,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21589652/1
Therefore the LCM of Fractions 3017/85,7156/811 is 21589652
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Greatest Common Factor
We found the factors 85,811 . The biggest common factor number is the GCF number.
So the greatest common factor 85,811 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 3017/85, 7156/811?
Answer: LCM of Numerators as per given numbers 3017/85, 7156/811 is
LCM of Numerators i.e. for 3017,7156 is 21589652
GCF of denominators i.e. for 85,811 is 1.
Thus, LCM of Fractions is 21589652.Finally, LCM of Fractions for 3017/85, 7156/811 is 21589652.