Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/492, 51/484 quickly i.e. 1020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/492, 51/484 is 1020.
LCM(80/492, 51/484) = 1020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/492,51/484
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 80,51
Least Common Multiple of Numerators i.e. LCM of 80,51 is 4080.
GCF of Denominators means GCF of 492,484 as per the given fractions.
GCF of 492,484 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,51
Given numbers has no common factors except 1. So, there LCM is their product i.e 4080
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 80,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,51) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,51) x common factors =1 x 1 = 1
LCM(80,51) = ( 80 × 51 ) / 1
LCM(80,51) = 4080 / 1
LCM(80,51) = 4080
Lets's calculate GCF of 492,484
2 | 492, 484 |
2 | 246, 242 |
123, 121 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4080/4
Therefore the LCM of Fractions 80/492,51/484 is 1020
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Greatest Common Factor
We found the factors 492,484 . The biggest common factor number is the GCF number.
So the greatest common factor 492,484 is 4.
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 80/492, 51/484?
Answer: LCM of Numerators as per given numbers 80/492, 51/484 is
LCM of Numerators i.e. for 80,51 is 4080
GCF of denominators i.e. for 492,484 is 4.
Thus, LCM of Fractions is 1020.Finally, LCM of Fractions for 80/492, 51/484 is 1020.