Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/474, 543/785, 137/214 quickly i.e. 3942723 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/474, 543/785, 137/214 is 3942723.
LCM(53/474, 543/785, 137/214) = 3942723
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/474,543/785,137/214
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 53,543,137
Least Common Multiple of Numerators i.e. LCM of 53,543,137 is 3942723.
GCF of Denominators means GCF of 474,785,214 as per the given fractions.
GCF of 474,785,214 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,543,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 3942723
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 53,543,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,543,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,543,137) x common factors =1 x 1 = 1
LCM(53,543,137) = ( 53 × 543 × 137 ) / 1
LCM(53,543,137) = 3942723 / 1
LCM(53,543,137) = 3942723
Lets's calculate GCF of 474,785,214
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3942723/1
Therefore the LCM of Fractions 53/474,543/785,137/214 is 3942723
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Greatest Common Factor
We found the factors 474,785,214 . The biggest common factor number is the GCF number.
So the greatest common factor 474,785,214 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 53/474, 543/785, 137/214?
Answer: LCM of Numerators as per given numbers 53/474, 543/785, 137/214 is
LCM of Numerators i.e. for 53,543,137 is 3942723
GCF of denominators i.e. for 474,785,214 is 1.
Thus, LCM of Fractions is 3942723.Finally, LCM of Fractions for 53/474, 543/785, 137/214 is 3942723.