Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1317/851, 2844/4797 quickly i.e. 1248516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1317/851, 2844/4797 is 1248516.
LCM(1317/851, 2844/4797) = 1248516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1317/851,2844/4797
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 1317,2844
Least Common Multiple of Numerators i.e. LCM of 1317,2844 is 1248516.
GCF of Denominators means GCF of 851,4797 as per the given fractions.
GCF of 851,4797 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1317,2844
3 | 1317, 2844 |
439, 948 |
∴ So the LCM of the given numbers is 3 x 439 x 948 = 1248516
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 1317,2844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1317,2844) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(1317,2844) x common factors =3 x 1 = 3
LCM(1317,2844) = ( 1317 × 2844 ) / 3
LCM(1317,2844) = 3745548 / 3
LCM(1317,2844) = 1248516
Lets's calculate GCF of 851,4797
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1248516/1
Therefore the LCM of Fractions 1317/851,2844/4797 is 1248516
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Factors of 4797
List of positive integer factors of 4797 that divides 4797 without a remainder.
1,3,9,13,39,41,117,123,369,533,1599,4797
Greatest Common Factor
We found the factors 851,4797 . The biggest common factor number is the GCF number.
So the greatest common factor 851,4797 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 1317/851, 2844/4797?
Answer: LCM of Numerators as per given numbers 1317/851, 2844/4797 is
LCM of Numerators i.e. for 1317,2844 is 1248516
GCF of denominators i.e. for 851,4797 is 1.
Thus, LCM of Fractions is 1248516.Finally, LCM of Fractions for 1317/851, 2844/4797 is 1248516.