Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 412/62, 894/53, 751/189 quickly i.e. 138307164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 412/62, 894/53, 751/189 is 138307164.
LCM(412/62, 894/53, 751/189) = 138307164
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 412/62,894/53,751/189
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 412,894,751
Least Common Multiple of Numerators i.e. LCM of 412,894,751 is 138307164.
GCF of Denominators means GCF of 62,53,189 as per the given fractions.
GCF of 62,53,189 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 412,894,751
2 | 412, 894, 751 |
206, 447, 751 |
∴ So the LCM of the given numbers is 2 x 206 x 447 x 751 = 138307164
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 412,894,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,894,751) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(412,894,751) x common factors =1 x 2 = 2
LCM(412,894,751) = ( 412 × 894 × 751 ) / 2
LCM(412,894,751) = 276614328 / 2
LCM(412,894,751) = 138307164
Lets's calculate GCF of 62,53,189
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138307164/1
Therefore the LCM of Fractions 412/62,894/53,751/189 is 138307164
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Greatest Common Factor
We found the factors 62,53,189 . The biggest common factor number is the GCF number.
So the greatest common factor 62,53,189 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 412/62, 894/53, 751/189?
Answer: LCM of Numerators as per given numbers 412/62, 894/53, 751/189 is
LCM of Numerators i.e. for 412,894,751 is 138307164
GCF of denominators i.e. for 62,53,189 is 1.
Thus, LCM of Fractions is 138307164.Finally, LCM of Fractions for 412/62, 894/53, 751/189 is 138307164.