Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/22, 75/51, 227/876 quickly i.e. 68100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/22, 75/51, 227/876 is 68100.
LCM(12/22, 75/51, 227/876) = 68100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/22,75/51,227/876
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 12,75,227
Least Common Multiple of Numerators i.e. LCM of 12,75,227 is 68100.
GCF of Denominators means GCF of 22,51,876 as per the given fractions.
GCF of 22,51,876 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,75,227
3 | 12, 75, 227 |
4, 25, 227 |
∴ So the LCM of the given numbers is 3 x 4 x 25 x 227 = 68100
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 12,75,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,75,227) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(12,75,227) x common factors =1 x 3 = 3
LCM(12,75,227) = ( 12 × 75 × 227 ) / 3
LCM(12,75,227) = 204300 / 3
LCM(12,75,227) = 68100
Lets's calculate GCF of 22,51,876
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68100/1
Therefore the LCM of Fractions 12/22,75/51,227/876 is 68100
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 22,51,876 . The biggest common factor number is the GCF number.
So the greatest common factor 22,51,876 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 12/22, 75/51, 227/876?
Answer: LCM of Numerators as per given numbers 12/22, 75/51, 227/876 is
LCM of Numerators i.e. for 12,75,227 is 68100
GCF of denominators i.e. for 22,51,876 is 1.
Thus, LCM of Fractions is 68100.Finally, LCM of Fractions for 12/22, 75/51, 227/876 is 68100.