Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 483/802, 3960/942 quickly i.e. 318780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 483/802, 3960/942 is 318780.
LCM(483/802, 3960/942) = 318780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 483/802,3960/942
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 483,3960
Least Common Multiple of Numerators i.e. LCM of 483,3960 is 637560.
GCF of Denominators means GCF of 802,942 as per the given fractions.
GCF of 802,942 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 483,3960
3 | 483, 3960 |
161, 1320 |
∴ So the LCM of the given numbers is 3 x 161 x 1320 = 637560
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 483,3960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,3960) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(483,3960) x common factors =3 x 1 = 3
LCM(483,3960) = ( 483 × 3960 ) / 3
LCM(483,3960) = 1912680 / 3
LCM(483,3960) = 637560
Lets's calculate GCF of 802,942
2 | 802, 942 |
401, 471 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 637560/2
Therefore the LCM of Fractions 483/802,3960/942 is 318780
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 802,942 . The biggest common factor number is the GCF number.
So the greatest common factor 802,942 is 2.
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 483/802, 3960/942?
Answer: LCM of Numerators as per given numbers 483/802, 3960/942 is
LCM of Numerators i.e. for 483,3960 is 637560
GCF of denominators i.e. for 802,942 is 2.
Thus, LCM of Fractions is 318780.Finally, LCM of Fractions for 483/802, 3960/942 is 318780.