Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 331/626, 1876/482 quickly i.e. 310478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 331/626, 1876/482 is 310478.
LCM(331/626, 1876/482) = 310478
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 331/626,1876/482
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 331,1876
Least Common Multiple of Numerators i.e. LCM of 331,1876 is 620956.
GCF of Denominators means GCF of 626,482 as per the given fractions.
GCF of 626,482 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 331,1876
Given numbers has no common factors except 1. So, there LCM is their product i.e 620956
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 331,1876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,1876) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,1876) x common factors =1 x 1 = 1
LCM(331,1876) = ( 331 × 1876 ) / 1
LCM(331,1876) = 620956 / 1
LCM(331,1876) = 620956
Lets's calculate GCF of 626,482
2 | 626, 482 |
313, 241 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 620956/2
Therefore the LCM of Fractions 331/626,1876/482 is 310478
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 626,482 . The biggest common factor number is the GCF number.
So the greatest common factor 626,482 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 331/626, 1876/482?
Answer: LCM of Numerators as per given numbers 331/626, 1876/482 is
LCM of Numerators i.e. for 331,1876 is 620956
GCF of denominators i.e. for 626,482 is 2.
Thus, LCM of Fractions is 310478.Finally, LCM of Fractions for 331/626, 1876/482 is 310478.