Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 182/168, 4787/143 quickly i.e. 871234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 182/168, 4787/143 is 871234.
LCM(182/168, 4787/143) = 871234
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 182/168,4787/143
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 182,4787
Least Common Multiple of Numerators i.e. LCM of 182,4787 is 871234.
GCF of Denominators means GCF of 168,143 as per the given fractions.
GCF of 168,143 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 182,4787
Given numbers has no common factors except 1. So, there LCM is their product i.e 871234
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 182,4787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,4787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(182,4787) x common factors =1 x 1 = 1
LCM(182,4787) = ( 182 × 4787 ) / 1
LCM(182,4787) = 871234 / 1
LCM(182,4787) = 871234
Lets's calculate GCF of 168,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 871234/1
Therefore the LCM of Fractions 182/168,4787/143 is 871234
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 168,143 . The biggest common factor number is the GCF number.
So the greatest common factor 168,143 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 182/168, 4787/143?
Answer: LCM of Numerators as per given numbers 182/168, 4787/143 is
LCM of Numerators i.e. for 182,4787 is 871234
GCF of denominators i.e. for 168,143 is 1.
Thus, LCM of Fractions is 871234.Finally, LCM of Fractions for 182/168, 4787/143 is 871234.