Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 739/841, 2526/5708 quickly i.e. 1866714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 739/841, 2526/5708 is 1866714.
LCM(739/841, 2526/5708) = 1866714
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 739/841,2526/5708
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 739,2526
Least Common Multiple of Numerators i.e. LCM of 739,2526 is 1866714.
GCF of Denominators means GCF of 841,5708 as per the given fractions.
GCF of 841,5708 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 739,2526
Given numbers has no common factors except 1. So, there LCM is their product i.e 1866714
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 739,2526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,2526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,2526) x common factors =1 x 1 = 1
LCM(739,2526) = ( 739 × 2526 ) / 1
LCM(739,2526) = 1866714 / 1
LCM(739,2526) = 1866714
Lets's calculate GCF of 841,5708
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1866714/1
Therefore the LCM of Fractions 739/841,2526/5708 is 1866714
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 5708
List of positive integer factors of 5708 that divides 5708 without a remainder.
1,2,4,1427,2854,5708
Greatest Common Factor
We found the factors 841,5708 . The biggest common factor number is the GCF number.
So the greatest common factor 841,5708 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 739/841, 2526/5708?
Answer: LCM of Numerators as per given numbers 739/841, 2526/5708 is
LCM of Numerators i.e. for 739,2526 is 1866714
GCF of denominators i.e. for 841,5708 is 1.
Thus, LCM of Fractions is 1866714.Finally, LCM of Fractions for 739/841, 2526/5708 is 1866714.