Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 978/99, 743/5264 quickly i.e. 726654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 978/99, 743/5264 is 726654.
LCM(978/99, 743/5264) = 726654
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 978/99,743/5264
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 978,743
Least Common Multiple of Numerators i.e. LCM of 978,743 is 726654.
GCF of Denominators means GCF of 99,5264 as per the given fractions.
GCF of 99,5264 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 978,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 726654
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 978,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(978,743) x common factors =1 x 1 = 1
LCM(978,743) = ( 978 × 743 ) / 1
LCM(978,743) = 726654 / 1
LCM(978,743) = 726654
Lets's calculate GCF of 99,5264
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 726654/1
Therefore the LCM of Fractions 978/99,743/5264 is 726654
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 5264
List of positive integer factors of 5264 that divides 5264 without a remainder.
1,2,4,7,8,14,16,28,47,56,94,112,188,329,376,658,752,1316,2632,5264
Greatest Common Factor
We found the factors 99,5264 . The biggest common factor number is the GCF number.
So the greatest common factor 99,5264 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 978/99, 743/5264?
Answer: LCM of Numerators as per given numbers 978/99, 743/5264 is
LCM of Numerators i.e. for 978,743 is 726654
GCF of denominators i.e. for 99,5264 is 1.
Thus, LCM of Fractions is 726654.Finally, LCM of Fractions for 978/99, 743/5264 is 726654.