Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 172/82, 881/3754 quickly i.e. 75766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 172/82, 881/3754 is 75766.
LCM(172/82, 881/3754) = 75766
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 172/82,881/3754
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 172,881
Least Common Multiple of Numerators i.e. LCM of 172,881 is 151532.
GCF of Denominators means GCF of 82,3754 as per the given fractions.
GCF of 82,3754 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 172,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 151532
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 172,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,881) x common factors =1 x 1 = 1
LCM(172,881) = ( 172 × 881 ) / 1
LCM(172,881) = 151532 / 1
LCM(172,881) = 151532
Lets's calculate GCF of 82,3754
2 | 82, 3754 |
41, 1877 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151532/2
Therefore the LCM of Fractions 172/82,881/3754 is 75766
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 3754
List of positive integer factors of 3754 that divides 3754 without a remainder.
1,2,1877,3754
Greatest Common Factor
We found the factors 82,3754 . The biggest common factor number is the GCF number.
So the greatest common factor 82,3754 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 172/82, 881/3754?
Answer: LCM of Numerators as per given numbers 172/82, 881/3754 is
LCM of Numerators i.e. for 172,881 is 151532
GCF of denominators i.e. for 82,3754 is 2.
Thus, LCM of Fractions is 75766.Finally, LCM of Fractions for 172/82, 881/3754 is 75766.