Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/212, 7844/6175 quickly i.e. 321604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/212, 7844/6175 is 321604.
LCM(82/212, 7844/6175) = 321604
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/212,7844/6175
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 82,7844
Least Common Multiple of Numerators i.e. LCM of 82,7844 is 321604.
GCF of Denominators means GCF of 212,6175 as per the given fractions.
GCF of 212,6175 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,7844
2 | 82, 7844 |
41, 3922 |
∴ So the LCM of the given numbers is 2 x 41 x 3922 = 321604
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 82,7844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,7844) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,7844) x common factors =2 x 1 = 2
LCM(82,7844) = ( 82 × 7844 ) / 2
LCM(82,7844) = 643208 / 2
LCM(82,7844) = 321604
Lets's calculate GCF of 212,6175
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321604/1
Therefore the LCM of Fractions 82/212,7844/6175 is 321604
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Factors of 6175
List of positive integer factors of 6175 that divides 6175 without a remainder.
1,5,13,19,25,65,95,247,325,475,1235,6175
Greatest Common Factor
We found the factors 212,6175 . The biggest common factor number is the GCF number.
So the greatest common factor 212,6175 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 82/212, 7844/6175?
Answer: LCM of Numerators as per given numbers 82/212, 7844/6175 is
LCM of Numerators i.e. for 82,7844 is 321604
GCF of denominators i.e. for 212,6175 is 1.
Thus, LCM of Fractions is 321604.Finally, LCM of Fractions for 82/212, 7844/6175 is 321604.