Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 977/41, 932/4009 quickly i.e. 910564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 977/41, 932/4009 is 910564.
LCM(977/41, 932/4009) = 910564
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 977/41,932/4009
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 977,932
Least Common Multiple of Numerators i.e. LCM of 977,932 is 910564.
GCF of Denominators means GCF of 41,4009 as per the given fractions.
GCF of 41,4009 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 977,932
Given numbers has no common factors except 1. So, there LCM is their product i.e 910564
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 977,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,932) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,932) x common factors =1 x 1 = 1
LCM(977,932) = ( 977 × 932 ) / 1
LCM(977,932) = 910564 / 1
LCM(977,932) = 910564
Lets's calculate GCF of 41,4009
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 910564/1
Therefore the LCM of Fractions 977/41,932/4009 is 910564
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 4009
List of positive integer factors of 4009 that divides 4009 without a remainder.
1,19,211,4009
Greatest Common Factor
We found the factors 41,4009 . The biggest common factor number is the GCF number.
So the greatest common factor 41,4009 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 977/41, 932/4009?
Answer: LCM of Numerators as per given numbers 977/41, 932/4009 is
LCM of Numerators i.e. for 977,932 is 910564
GCF of denominators i.e. for 41,4009 is 1.
Thus, LCM of Fractions is 910564.Finally, LCM of Fractions for 977/41, 932/4009 is 910564.