Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 734/39, 541/1034 quickly i.e. 397094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 734/39, 541/1034 is 397094.
LCM(734/39, 541/1034) = 397094
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 734/39,541/1034
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 734,541
Least Common Multiple of Numerators i.e. LCM of 734,541 is 397094.
GCF of Denominators means GCF of 39,1034 as per the given fractions.
GCF of 39,1034 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 734,541
Given numbers has no common factors except 1. So, there LCM is their product i.e 397094
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 734,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,541) x common factors =1 x 1 = 1
LCM(734,541) = ( 734 × 541 ) / 1
LCM(734,541) = 397094 / 1
LCM(734,541) = 397094
Lets's calculate GCF of 39,1034
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 397094/1
Therefore the LCM of Fractions 734/39,541/1034 is 397094
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 1034
List of positive integer factors of 1034 that divides 1034 without a remainder.
1,2,11,22,47,94,517,1034
Greatest Common Factor
We found the factors 39,1034 . The biggest common factor number is the GCF number.
So the greatest common factor 39,1034 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 734/39, 541/1034?
Answer: LCM of Numerators as per given numbers 734/39, 541/1034 is
LCM of Numerators i.e. for 734,541 is 397094
GCF of denominators i.e. for 39,1034 is 1.
Thus, LCM of Fractions is 397094.Finally, LCM of Fractions for 734/39, 541/1034 is 397094.