Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3926/918, 2433/5952 quickly i.e. 1591993 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3926/918, 2433/5952 is 1591993.
LCM(3926/918, 2433/5952) = 1591993
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3926/918,2433/5952
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 3926,2433
Least Common Multiple of Numerators i.e. LCM of 3926,2433 is 9551958.
GCF of Denominators means GCF of 918,5952 as per the given fractions.
GCF of 918,5952 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3926,2433
Given numbers has no common factors except 1. So, there LCM is their product i.e 9551958
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 3926,2433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3926,2433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3926,2433) x common factors =1 x 1 = 1
LCM(3926,2433) = ( 3926 × 2433 ) / 1
LCM(3926,2433) = 9551958 / 1
LCM(3926,2433) = 9551958
Lets's calculate GCF of 918,5952
2 | 918, 5952 |
3 | 459, 2976 |
153, 992 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9551958/6
Therefore the LCM of Fractions 3926/918,2433/5952 is 1591993
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 5952
List of positive integer factors of 5952 that divides 5952 without a remainder.
1,2,3,4,6,8,12,16,24,31,32,48,62,64,93,96,124,186,192,248,372,496,744,992,1488,1984,2976,5952
Greatest Common Factor
We found the factors 918,5952 . The biggest common factor number is the GCF number.
So the greatest common factor 918,5952 is 6.
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 3926/918, 2433/5952?
Answer: LCM of Numerators as per given numbers 3926/918, 2433/5952 is
LCM of Numerators i.e. for 3926,2433 is 9551958
GCF of denominators i.e. for 918,5952 is 6.
Thus, LCM of Fractions is 1591993.Finally, LCM of Fractions for 3926/918, 2433/5952 is 1591993.