Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8478/211, 2851/7474 quickly i.e. 24170778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8478/211, 2851/7474 is 24170778.
LCM(8478/211, 2851/7474) = 24170778
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8478/211,2851/7474
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 8478,2851
Least Common Multiple of Numerators i.e. LCM of 8478,2851 is 24170778.
GCF of Denominators means GCF of 211,7474 as per the given fractions.
GCF of 211,7474 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8478,2851
Given numbers has no common factors except 1. So, there LCM is their product i.e 24170778
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 8478,2851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8478,2851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8478,2851) x common factors =1 x 1 = 1
LCM(8478,2851) = ( 8478 × 2851 ) / 1
LCM(8478,2851) = 24170778 / 1
LCM(8478,2851) = 24170778
Lets's calculate GCF of 211,7474
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24170778/1
Therefore the LCM of Fractions 8478/211,2851/7474 is 24170778
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 7474
List of positive integer factors of 7474 that divides 7474 without a remainder.
1,2,37,74,101,202,3737,7474
Greatest Common Factor
We found the factors 211,7474 . The biggest common factor number is the GCF number.
So the greatest common factor 211,7474 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 8478/211, 2851/7474?
Answer: LCM of Numerators as per given numbers 8478/211, 2851/7474 is
LCM of Numerators i.e. for 8478,2851 is 24170778
GCF of denominators i.e. for 211,7474 is 1.
Thus, LCM of Fractions is 24170778.Finally, LCM of Fractions for 8478/211, 2851/7474 is 24170778.