Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 749/10, 476/39, 849/759 quickly i.e. 43241268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 749/10, 476/39, 849/759 is 43241268.
LCM(749/10, 476/39, 849/759) = 43241268
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 749/10,476/39,849/759
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 749,476,849
Least Common Multiple of Numerators i.e. LCM of 749,476,849 is 43241268.
GCF of Denominators means GCF of 10,39,759 as per the given fractions.
GCF of 10,39,759 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 749,476,849
7 | 749, 476, 849 |
107, 68, 849 |
∴ So the LCM of the given numbers is 7 x 107 x 68 x 849 = 43241268
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 749,476,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,476,849) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(749,476,849) x common factors =1 x 7 = 7
LCM(749,476,849) = ( 749 × 476 × 849 ) / 7
LCM(749,476,849) = 302688876 / 7
LCM(749,476,849) = 43241268
Lets's calculate GCF of 10,39,759
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43241268/1
Therefore the LCM of Fractions 749/10,476/39,849/759 is 43241268
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors 10,39,759 . The biggest common factor number is the GCF number.
So the greatest common factor 10,39,759 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 749/10, 476/39, 849/759?
Answer: LCM of Numerators as per given numbers 749/10, 476/39, 849/759 is
LCM of Numerators i.e. for 749,476,849 is 43241268
GCF of denominators i.e. for 10,39,759 is 1.
Thus, LCM of Fractions is 43241268.Finally, LCM of Fractions for 749/10, 476/39, 849/759 is 43241268.