Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/55, 73/56, 17/374 quickly i.e. 26061 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/55, 73/56, 17/374 is 26061.
LCM(21/55, 73/56, 17/374) = 26061
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/55,73/56,17/374
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 21,73,17
Least Common Multiple of Numerators i.e. LCM of 21,73,17 is 26061.
GCF of Denominators means GCF of 55,56,374 as per the given fractions.
GCF of 55,56,374 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,73,17
Given numbers has no common factors except 1. So, there LCM is their product i.e 26061
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 21,73,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,73,17) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,73,17) x common factors =1 x 1 = 1
LCM(21,73,17) = ( 21 × 73 × 17 ) / 1
LCM(21,73,17) = 26061 / 1
LCM(21,73,17) = 26061
Lets's calculate GCF of 55,56,374
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26061/1
Therefore the LCM of Fractions 21/55,73/56,17/374 is 26061
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 55,56,374 . The biggest common factor number is the GCF number.
So the greatest common factor 55,56,374 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 21/55, 73/56, 17/374?
Answer: LCM of Numerators as per given numbers 21/55, 73/56, 17/374 is
LCM of Numerators i.e. for 21,73,17 is 26061
GCF of denominators i.e. for 55,56,374 is 1.
Thus, LCM of Fractions is 26061.Finally, LCM of Fractions for 21/55, 73/56, 17/374 is 26061.