Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9424/807, 3924/1956 quickly i.e. 3081648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9424/807, 3924/1956 is 3081648.
LCM(9424/807, 3924/1956) = 3081648
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9424/807,3924/1956
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 9424,3924
Least Common Multiple of Numerators i.e. LCM of 9424,3924 is 9244944.
GCF of Denominators means GCF of 807,1956 as per the given fractions.
GCF of 807,1956 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9424,3924
2 | 9424, 3924 |
2 | 4712, 1962 |
2356, 981 |
∴ So the LCM of the given numbers is 2 x 2 x 2356 x 981 = 9244944
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 9424,3924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9424,3924) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(9424,3924) x common factors =4 x 1 = 4
LCM(9424,3924) = ( 9424 × 3924 ) / 4
LCM(9424,3924) = 36979776 / 4
LCM(9424,3924) = 9244944
Lets's calculate GCF of 807,1956
3 | 807, 1956 |
269, 652 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9244944/3
Therefore the LCM of Fractions 9424/807,3924/1956 is 3081648
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 1956
List of positive integer factors of 1956 that divides 1956 without a remainder.
1,2,3,4,6,12,163,326,489,652,978,1956
Greatest Common Factor
We found the factors 807,1956 . The biggest common factor number is the GCF number.
So the greatest common factor 807,1956 is 3.
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 9424/807, 3924/1956?
Answer: LCM of Numerators as per given numbers 9424/807, 3924/1956 is
LCM of Numerators i.e. for 9424,3924 is 9244944
GCF of denominators i.e. for 807,1956 is 3.
Thus, LCM of Fractions is 3081648.Finally, LCM of Fractions for 9424/807, 3924/1956 is 3081648.