Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4947/906, 4361/1074 quickly i.e. 21573867/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4947/906, 4361/1074 is 21573867/6.
LCM(4947/906, 4361/1074) = 21573867/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4947/906,4361/1074
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 4947,4361
Least Common Multiple of Numerators i.e. LCM of 4947,4361 is 21573867.
GCF of Denominators means GCF of 906,1074 as per the given fractions.
GCF of 906,1074 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4947,4361
Given numbers has no common factors except 1. So, there LCM is their product i.e 21573867
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 4947,4361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4947,4361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4947,4361) x common factors =1 x 1 = 1
LCM(4947,4361) = ( 4947 × 4361 ) / 1
LCM(4947,4361) = 21573867 / 1
LCM(4947,4361) = 21573867
Lets's calculate GCF of 906,1074
2 | 906, 1074 |
3 | 453, 537 |
151, 179 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21573867/6
Therefore the LCM of Fractions 4947/906,4361/1074 is 21573867/6
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 1074
List of positive integer factors of 1074 that divides 1074 without a remainder.
1,2,3,6,179,358,537,1074
Greatest Common Factor
We found the factors 906,1074 . The biggest common factor number is the GCF number.
So the greatest common factor 906,1074 is 6.
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 4947/906, 4361/1074?
Answer: LCM of Numerators as per given numbers 4947/906, 4361/1074 is
LCM of Numerators i.e. for 4947,4361 is 21573867
GCF of denominators i.e. for 906,1074 is 6.
Thus, LCM of Fractions is 21573867/6.Finally, LCM of Fractions for 4947/906, 4361/1074 is 21573867/6.