Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 988/132, 3755/468 quickly i.e. 3709940/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 988/132, 3755/468 is 3709940/12.
LCM(988/132, 3755/468) = 3709940/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 988/132,3755/468
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 988,3755
Least Common Multiple of Numerators i.e. LCM of 988,3755 is 3709940.
GCF of Denominators means GCF of 132,468 as per the given fractions.
GCF of 132,468 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 988,3755
Given numbers has no common factors except 1. So, there LCM is their product i.e 3709940
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 988,3755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,3755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(988,3755) x common factors =1 x 1 = 1
LCM(988,3755) = ( 988 × 3755 ) / 1
LCM(988,3755) = 3709940 / 1
LCM(988,3755) = 3709940
Lets's calculate GCF of 132,468
2 | 132, 468 |
2 | 66, 234 |
3 | 33, 117 |
11, 39 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3709940/12
Therefore the LCM of Fractions 988/132,3755/468 is 3709940/12
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 132,468 . The biggest common factor number is the GCF number.
So the greatest common factor 132,468 is 12.
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 988/132, 3755/468?
Answer: LCM of Numerators as per given numbers 988/132, 3755/468 is
LCM of Numerators i.e. for 988,3755 is 3709940
GCF of denominators i.e. for 132,468 is 12.
Thus, LCM of Fractions is 3709940/12.Finally, LCM of Fractions for 988/132, 3755/468 is 3709940/12.