Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/94, 68/95, 60/98, 68/333 quickly i.e. 13260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/94, 68/95, 60/98, 68/333 is 13260.
LCM(52/94, 68/95, 60/98, 68/333) = 13260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/94,68/95,60/98,68/333
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 52,68,60,68
Least Common Multiple of Numerators i.e. LCM of 52,68,60,68 is 13260.
GCF of Denominators means GCF of 94,95,98,333 as per the given fractions.
GCF of 94,95,98,333 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,68,60,68
2 | 52, 68, 60, 68 |
2 | 26, 34, 30, 34 |
17 | 13, 17, 15, 17 |
13, 1, 15, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 13 x 1 x 15 x 1 = 13260
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 52,68,60,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,68,60,68) = 4
common factors(in case of two or more numbers have common factors) = 272
GCF(52,68,60,68) x common factors =4 x 272 = 1088
LCM(52,68,60,68) = ( 52 × 68 × 60 × 68 ) / 1088
LCM(52,68,60,68) = 14426880 / 1088
LCM(52,68,60,68) = 13260
Lets's calculate GCF of 94,95,98,333
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13260/1
Therefore the LCM of Fractions 52/94,68/95,60/98,68/333 is 13260
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Greatest Common Factor
We found the factors 94,95,98,333 . The biggest common factor number is the GCF number.
So the greatest common factor 94,95,98,333 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 52/94, 68/95, 60/98, 68/333?
Answer: LCM of Numerators as per given numbers 52/94, 68/95, 60/98, 68/333 is
LCM of Numerators i.e. for 52,68,60,68 is 13260
GCF of denominators i.e. for 94,95,98,333 is 1.
Thus, LCM of Fractions is 13260.Finally, LCM of Fractions for 52/94, 68/95, 60/98, 68/333 is 13260.