Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 736/919, 2993/8557 quickly i.e. 2202848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 736/919, 2993/8557 is 2202848.
LCM(736/919, 2993/8557) = 2202848
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 736/919,2993/8557
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 736,2993
Least Common Multiple of Numerators i.e. LCM of 736,2993 is 2202848.
GCF of Denominators means GCF of 919,8557 as per the given fractions.
GCF of 919,8557 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 736,2993
Given numbers has no common factors except 1. So, there LCM is their product i.e 2202848
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 736,2993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,2993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(736,2993) x common factors =1 x 1 = 1
LCM(736,2993) = ( 736 × 2993 ) / 1
LCM(736,2993) = 2202848 / 1
LCM(736,2993) = 2202848
Lets's calculate GCF of 919,8557
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2202848/1
Therefore the LCM of Fractions 736/919,2993/8557 is 2202848
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 8557
List of positive integer factors of 8557 that divides 8557 without a remainder.
1,43,199,8557
Greatest Common Factor
We found the factors 919,8557 . The biggest common factor number is the GCF number.
So the greatest common factor 919,8557 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 736/919, 2993/8557?
Answer: LCM of Numerators as per given numbers 736/919, 2993/8557 is
LCM of Numerators i.e. for 736,2993 is 2202848
GCF of denominators i.e. for 919,8557 is 1.
Thus, LCM of Fractions is 2202848.Finally, LCM of Fractions for 736/919, 2993/8557 is 2202848.