Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 274/592, 3035/9271 quickly i.e. 831590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 274/592, 3035/9271 is 831590.
LCM(274/592, 3035/9271) = 831590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 274/592,3035/9271
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 274,3035
Least Common Multiple of Numerators i.e. LCM of 274,3035 is 831590.
GCF of Denominators means GCF of 592,9271 as per the given fractions.
GCF of 592,9271 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 274,3035
Given numbers has no common factors except 1. So, there LCM is their product i.e 831590
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 274,3035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,3035) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(274,3035) x common factors =1 x 1 = 1
LCM(274,3035) = ( 274 × 3035 ) / 1
LCM(274,3035) = 831590 / 1
LCM(274,3035) = 831590
Lets's calculate GCF of 592,9271
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 831590/1
Therefore the LCM of Fractions 274/592,3035/9271 is 831590
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 9271
List of positive integer factors of 9271 that divides 9271 without a remainder.
1,73,127,9271
Greatest Common Factor
We found the factors 592,9271 . The biggest common factor number is the GCF number.
So the greatest common factor 592,9271 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 274/592, 3035/9271?
Answer: LCM of Numerators as per given numbers 274/592, 3035/9271 is
LCM of Numerators i.e. for 274,3035 is 831590
GCF of denominators i.e. for 592,9271 is 1.
Thus, LCM of Fractions is 831590.Finally, LCM of Fractions for 274/592, 3035/9271 is 831590.