Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 437/33, 173/47, 734/121 quickly i.e. 55491134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 437/33, 173/47, 734/121 is 55491134.
LCM(437/33, 173/47, 734/121) = 55491134
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 437/33,173/47,734/121
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 437,173,734
Least Common Multiple of Numerators i.e. LCM of 437,173,734 is 55491134.
GCF of Denominators means GCF of 33,47,121 as per the given fractions.
GCF of 33,47,121 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 437,173,734
Given numbers has no common factors except 1. So, there LCM is their product i.e 55491134
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 437,173,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(437,173,734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(437,173,734) x common factors =1 x 1 = 1
LCM(437,173,734) = ( 437 × 173 × 734 ) / 1
LCM(437,173,734) = 55491134 / 1
LCM(437,173,734) = 55491134
Lets's calculate GCF of 33,47,121
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55491134/1
Therefore the LCM of Fractions 437/33,173/47,734/121 is 55491134
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Greatest Common Factor
We found the factors 33,47,121 . The biggest common factor number is the GCF number.
So the greatest common factor 33,47,121 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 437/33, 173/47, 734/121?
Answer: LCM of Numerators as per given numbers 437/33, 173/47, 734/121 is
LCM of Numerators i.e. for 437,173,734 is 55491134
GCF of denominators i.e. for 33,47,121 is 1.
Thus, LCM of Fractions is 55491134.Finally, LCM of Fractions for 437/33, 173/47, 734/121 is 55491134.