Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/904, 629/754, 586/958 quickly i.e. 7003286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/904, 629/754, 586/958 is 7003286.
LCM(76/904, 629/754, 586/958) = 7003286
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/904,629/754,586/958
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 76,629,586
Least Common Multiple of Numerators i.e. LCM of 76,629,586 is 14006572.
GCF of Denominators means GCF of 904,754,958 as per the given fractions.
GCF of 904,754,958 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,629,586
2 | 76, 629, 586 |
38, 629, 293 |
∴ So the LCM of the given numbers is 2 x 38 x 629 x 293 = 14006572
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 76,629,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,629,586) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(76,629,586) x common factors =1 x 2 = 2
LCM(76,629,586) = ( 76 × 629 × 586 ) / 2
LCM(76,629,586) = 28013144 / 2
LCM(76,629,586) = 14006572
Lets's calculate GCF of 904,754,958
2 | 904, 754, 958 |
452, 377, 479 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14006572/2
Therefore the LCM of Fractions 76/904,629/754,586/958 is 7003286
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Greatest Common Factor
We found the factors 904,754,958 . The biggest common factor number is the GCF number.
So the greatest common factor 904,754,958 is 2.
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 76/904, 629/754, 586/958?
Answer: LCM of Numerators as per given numbers 76/904, 629/754, 586/958 is
LCM of Numerators i.e. for 76,629,586 is 14006572
GCF of denominators i.e. for 904,754,958 is 2.
Thus, LCM of Fractions is 7003286.Finally, LCM of Fractions for 76/904, 629/754, 586/958 is 7003286.