Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 476/249, 5087/166 quickly i.e. 2421412/83 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 476/249, 5087/166 is 2421412/83.
LCM(476/249, 5087/166) = 2421412/83
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 476/249,5087/166
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 476,5087
Least Common Multiple of Numerators i.e. LCM of 476,5087 is 2421412.
GCF of Denominators means GCF of 249,166 as per the given fractions.
GCF of 249,166 is 83 as it is the largest common factor for these numbers.
Lets's calculate LCM of 476,5087
Given numbers has no common factors except 1. So, there LCM is their product i.e 2421412
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 476,5087 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,5087) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(476,5087) x common factors =1 x 1 = 1
LCM(476,5087) = ( 476 × 5087 ) / 1
LCM(476,5087) = 2421412 / 1
LCM(476,5087) = 2421412
Lets's calculate GCF of 249,166
83 | 249, 166 |
3, 2 |
∴ So the GCF of the given numbers is 83 = 83
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2421412/83
Therefore the LCM of Fractions 476/249,5087/166 is 2421412/83
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Greatest Common Factor
We found the factors 249,166 . The biggest common factor number is the GCF number.
So the greatest common factor 249,166 is 83.
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 476/249, 5087/166?
Answer: LCM of Numerators as per given numbers 476/249, 5087/166 is
LCM of Numerators i.e. for 476,5087 is 2421412
GCF of denominators i.e. for 249,166 is 83.
Thus, LCM of Fractions is 2421412/83.Finally, LCM of Fractions for 476/249, 5087/166 is 2421412/83.