Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/14, 11/51, 757/177 quickly i.e. 416350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/14, 11/51, 757/177 is 416350.
LCM(50/14, 11/51, 757/177) = 416350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/14,11/51,757/177
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 50,11,757
Least Common Multiple of Numerators i.e. LCM of 50,11,757 is 416350.
GCF of Denominators means GCF of 14,51,177 as per the given fractions.
GCF of 14,51,177 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,11,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 416350
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 50,11,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,11,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,11,757) x common factors =1 x 1 = 1
LCM(50,11,757) = ( 50 × 11 × 757 ) / 1
LCM(50,11,757) = 416350 / 1
LCM(50,11,757) = 416350
Lets's calculate GCF of 14,51,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 416350/1
Therefore the LCM of Fractions 50/14,11/51,757/177 is 416350
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Greatest Common Factor
We found the factors 14,51,177 . The biggest common factor number is the GCF number.
So the greatest common factor 14,51,177 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 50/14, 11/51, 757/177?
Answer: LCM of Numerators as per given numbers 50/14, 11/51, 757/177 is
LCM of Numerators i.e. for 50,11,757 is 416350
GCF of denominators i.e. for 14,51,177 is 1.
Thus, LCM of Fractions is 416350.Finally, LCM of Fractions for 50/14, 11/51, 757/177 is 416350.