Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/959, 11/232, 214/252 quickly i.e. 63558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/959, 11/232, 214/252 is 63558.
LCM(54/959, 11/232, 214/252) = 63558
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/959,11/232,214/252
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 54,11,214
Least Common Multiple of Numerators i.e. LCM of 54,11,214 is 63558.
GCF of Denominators means GCF of 959,232,252 as per the given fractions.
GCF of 959,232,252 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,11,214
2 | 54, 11, 214 |
27, 11, 107 |
∴ So the LCM of the given numbers is 2 x 27 x 11 x 107 = 63558
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 54,11,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,11,214) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(54,11,214) x common factors =1 x 2 = 2
LCM(54,11,214) = ( 54 × 11 × 214 ) / 2
LCM(54,11,214) = 127116 / 2
LCM(54,11,214) = 63558
Lets's calculate GCF of 959,232,252
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63558/1
Therefore the LCM of Fractions 54/959,11/232,214/252 is 63558
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 959,232,252 . The biggest common factor number is the GCF number.
So the greatest common factor 959,232,252 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 54/959, 11/232, 214/252?
Answer: LCM of Numerators as per given numbers 54/959, 11/232, 214/252 is
LCM of Numerators i.e. for 54,11,214 is 63558
GCF of denominators i.e. for 959,232,252 is 1.
Thus, LCM of Fractions is 63558.Finally, LCM of Fractions for 54/959, 11/232, 214/252 is 63558.