Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7314/279, 4969/885 quickly i.e. 12114422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7314/279, 4969/885 is 12114422.
LCM(7314/279, 4969/885) = 12114422
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7314/279,4969/885
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 7314,4969
Least Common Multiple of Numerators i.e. LCM of 7314,4969 is 36343266.
GCF of Denominators means GCF of 279,885 as per the given fractions.
GCF of 279,885 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7314,4969
Given numbers has no common factors except 1. So, there LCM is their product i.e 36343266
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 7314,4969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7314,4969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7314,4969) x common factors =1 x 1 = 1
LCM(7314,4969) = ( 7314 × 4969 ) / 1
LCM(7314,4969) = 36343266 / 1
LCM(7314,4969) = 36343266
Lets's calculate GCF of 279,885
3 | 279, 885 |
93, 295 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36343266/3
Therefore the LCM of Fractions 7314/279,4969/885 is 12114422
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 279,885 . The biggest common factor number is the GCF number.
So the greatest common factor 279,885 is 3.
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 7314/279, 4969/885?
Answer: LCM of Numerators as per given numbers 7314/279, 4969/885 is
LCM of Numerators i.e. for 7314,4969 is 36343266
GCF of denominators i.e. for 279,885 is 3.
Thus, LCM of Fractions is 12114422.Finally, LCM of Fractions for 7314/279, 4969/885 is 12114422.