Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9127/984, 7850/499 quickly i.e. 71646950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9127/984, 7850/499 is 71646950.
LCM(9127/984, 7850/499) = 71646950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9127/984,7850/499
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 9127,7850
Least Common Multiple of Numerators i.e. LCM of 9127,7850 is 71646950.
GCF of Denominators means GCF of 984,499 as per the given fractions.
GCF of 984,499 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9127,7850
Given numbers has no common factors except 1. So, there LCM is their product i.e 71646950
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 9127,7850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9127,7850) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9127,7850) x common factors =1 x 1 = 1
LCM(9127,7850) = ( 9127 × 7850 ) / 1
LCM(9127,7850) = 71646950 / 1
LCM(9127,7850) = 71646950
Lets's calculate GCF of 984,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71646950/1
Therefore the LCM of Fractions 9127/984,7850/499 is 71646950
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Greatest Common Factor
We found the factors 984,499 . The biggest common factor number is the GCF number.
So the greatest common factor 984,499 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 9127/984, 7850/499?
Answer: LCM of Numerators as per given numbers 9127/984, 7850/499 is
LCM of Numerators i.e. for 9127,7850 is 71646950
GCF of denominators i.e. for 984,499 is 1.
Thus, LCM of Fractions is 71646950.Finally, LCM of Fractions for 9127/984, 7850/499 is 71646950.