Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 892/42, 537/3983 quickly i.e. 479004/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 892/42, 537/3983 is 479004/7.
LCM(892/42, 537/3983) = 479004/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 892/42,537/3983
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 892,537
Least Common Multiple of Numerators i.e. LCM of 892,537 is 479004.
GCF of Denominators means GCF of 42,3983 as per the given fractions.
GCF of 42,3983 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 892,537
Given numbers has no common factors except 1. So, there LCM is their product i.e 479004
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 892,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(892,537) x common factors =1 x 1 = 1
LCM(892,537) = ( 892 × 537 ) / 1
LCM(892,537) = 479004 / 1
LCM(892,537) = 479004
Lets's calculate GCF of 42,3983
7 | 42, 3983 |
6, 569 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 479004/7
Therefore the LCM of Fractions 892/42,537/3983 is 479004/7
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 3983
List of positive integer factors of 3983 that divides 3983 without a remainder.
1,7,569,3983
Greatest Common Factor
We found the factors 42,3983 . The biggest common factor number is the GCF number.
So the greatest common factor 42,3983 is 7.
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 892/42, 537/3983?
Answer: LCM of Numerators as per given numbers 892/42, 537/3983 is
LCM of Numerators i.e. for 892,537 is 479004
GCF of denominators i.e. for 42,3983 is 7.
Thus, LCM of Fractions is 479004/7.Finally, LCM of Fractions for 892/42, 537/3983 is 479004/7.