Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/22, 727/11, 754/244 quickly i.e. 16444740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/22, 727/11, 754/244 is 16444740.
LCM(60/22, 727/11, 754/244) = 16444740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/22,727/11,754/244
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 60,727,754
Least Common Multiple of Numerators i.e. LCM of 60,727,754 is 16444740.
GCF of Denominators means GCF of 22,11,244 as per the given fractions.
GCF of 22,11,244 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,727,754
2 | 60, 727, 754 |
30, 727, 377 |
∴ So the LCM of the given numbers is 2 x 30 x 727 x 377 = 16444740
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 60,727,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,727,754) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(60,727,754) x common factors =1 x 2 = 2
LCM(60,727,754) = ( 60 × 727 × 754 ) / 2
LCM(60,727,754) = 32889480 / 2
LCM(60,727,754) = 16444740
Lets's calculate GCF of 22,11,244
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16444740/1
Therefore the LCM of Fractions 60/22,727/11,754/244 is 16444740
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 22,11,244 . The biggest common factor number is the GCF number.
So the greatest common factor 22,11,244 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 60/22, 727/11, 754/244?
Answer: LCM of Numerators as per given numbers 60/22, 727/11, 754/244 is
LCM of Numerators i.e. for 60,727,754 is 16444740
GCF of denominators i.e. for 22,11,244 is 1.
Thus, LCM of Fractions is 16444740.Finally, LCM of Fractions for 60/22, 727/11, 754/244 is 16444740.