Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 737/27, 982/1100 quickly i.e. 723734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 737/27, 982/1100 is 723734.
LCM(737/27, 982/1100) = 723734
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 737/27,982/1100
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 737,982
Least Common Multiple of Numerators i.e. LCM of 737,982 is 723734.
GCF of Denominators means GCF of 27,1100 as per the given fractions.
GCF of 27,1100 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 737,982
Given numbers has no common factors except 1. So, there LCM is their product i.e 723734
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 737,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,982) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,982) x common factors =1 x 1 = 1
LCM(737,982) = ( 737 × 982 ) / 1
LCM(737,982) = 723734 / 1
LCM(737,982) = 723734
Lets's calculate GCF of 27,1100
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 723734/1
Therefore the LCM of Fractions 737/27,982/1100 is 723734
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 1100
List of positive integer factors of 1100 that divides 1100 without a remainder.
1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100
Greatest Common Factor
We found the factors 27,1100 . The biggest common factor number is the GCF number.
So the greatest common factor 27,1100 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 737/27, 982/1100?
Answer: LCM of Numerators as per given numbers 737/27, 982/1100 is
LCM of Numerators i.e. for 737,982 is 723734
GCF of denominators i.e. for 27,1100 is 1.
Thus, LCM of Fractions is 723734.Finally, LCM of Fractions for 737/27, 982/1100 is 723734.