Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 756/738, 849/761 quickly i.e. 213948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 756/738, 849/761 is 213948.
LCM(756/738, 849/761) = 213948
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 756/738,849/761
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 756,849
Least Common Multiple of Numerators i.e. LCM of 756,849 is 213948.
GCF of Denominators means GCF of 738,761 as per the given fractions.
GCF of 738,761 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 756,849
3 | 756, 849 |
252, 283 |
∴ So the LCM of the given numbers is 3 x 252 x 283 = 213948
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 756,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,849) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(756,849) x common factors =3 x 1 = 3
LCM(756,849) = ( 756 × 849 ) / 3
LCM(756,849) = 641844 / 3
LCM(756,849) = 213948
Lets's calculate GCF of 738,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213948/1
Therefore the LCM of Fractions 756/738,849/761 is 213948
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Greatest Common Factor
We found the factors 738,761 . The biggest common factor number is the GCF number.
So the greatest common factor 738,761 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 756/738, 849/761?
Answer: LCM of Numerators as per given numbers 756/738, 849/761 is
LCM of Numerators i.e. for 756,849 is 213948
GCF of denominators i.e. for 738,761 is 1.
Thus, LCM of Fractions is 213948.Finally, LCM of Fractions for 756/738, 849/761 is 213948.