Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/598, 993/947, 850/332 quickly i.e. 31229850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/598, 993/947, 850/332 is 31229850.
LCM(37/598, 993/947, 850/332) = 31229850
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/598,993/947,850/332
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 37,993,850
Least Common Multiple of Numerators i.e. LCM of 37,993,850 is 31229850.
GCF of Denominators means GCF of 598,947,332 as per the given fractions.
GCF of 598,947,332 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,993,850
Given numbers has no common factors except 1. So, there LCM is their product i.e 31229850
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 37,993,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,993,850) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,993,850) x common factors =1 x 1 = 1
LCM(37,993,850) = ( 37 × 993 × 850 ) / 1
LCM(37,993,850) = 31229850 / 1
LCM(37,993,850) = 31229850
Lets's calculate GCF of 598,947,332
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31229850/1
Therefore the LCM of Fractions 37/598,993/947,850/332 is 31229850
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Greatest Common Factor
We found the factors 598,947,332 . The biggest common factor number is the GCF number.
So the greatest common factor 598,947,332 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 37/598, 993/947, 850/332?
Answer: LCM of Numerators as per given numbers 37/598, 993/947, 850/332 is
LCM of Numerators i.e. for 37,993,850 is 31229850
GCF of denominators i.e. for 598,947,332 is 1.
Thus, LCM of Fractions is 31229850.Finally, LCM of Fractions for 37/598, 993/947, 850/332 is 31229850.