Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1433/876, 4624/463 quickly i.e. 6626192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1433/876, 4624/463 is 6626192.
LCM(1433/876, 4624/463) = 6626192
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1433/876,4624/463
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 1433,4624
Least Common Multiple of Numerators i.e. LCM of 1433,4624 is 6626192.
GCF of Denominators means GCF of 876,463 as per the given fractions.
GCF of 876,463 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1433,4624
Given numbers has no common factors except 1. So, there LCM is their product i.e 6626192
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 1433,4624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1433,4624) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1433,4624) x common factors =1 x 1 = 1
LCM(1433,4624) = ( 1433 × 4624 ) / 1
LCM(1433,4624) = 6626192 / 1
LCM(1433,4624) = 6626192
Lets's calculate GCF of 876,463
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6626192/1
Therefore the LCM of Fractions 1433/876,4624/463 is 6626192
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Greatest Common Factor
We found the factors 876,463 . The biggest common factor number is the GCF number.
So the greatest common factor 876,463 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 1433/876, 4624/463?
Answer: LCM of Numerators as per given numbers 1433/876, 4624/463 is
LCM of Numerators i.e. for 1433,4624 is 6626192
GCF of denominators i.e. for 876,463 is 1.
Thus, LCM of Fractions is 6626192.Finally, LCM of Fractions for 1433/876, 4624/463 is 6626192.