Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2883/506, 1986/2476 quickly i.e. 954273 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2883/506, 1986/2476 is 954273.
LCM(2883/506, 1986/2476) = 954273
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2883/506,1986/2476
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 2883,1986
Least Common Multiple of Numerators i.e. LCM of 2883,1986 is 1908546.
GCF of Denominators means GCF of 506,2476 as per the given fractions.
GCF of 506,2476 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2883,1986
3 | 2883, 1986 |
961, 662 |
∴ So the LCM of the given numbers is 3 x 961 x 662 = 1908546
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 2883,1986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2883,1986) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(2883,1986) x common factors =3 x 1 = 3
LCM(2883,1986) = ( 2883 × 1986 ) / 3
LCM(2883,1986) = 5725638 / 3
LCM(2883,1986) = 1908546
Lets's calculate GCF of 506,2476
2 | 506, 2476 |
253, 1238 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1908546/2
Therefore the LCM of Fractions 2883/506,1986/2476 is 954273
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 2476
List of positive integer factors of 2476 that divides 2476 without a remainder.
1,2,4,619,1238,2476
Greatest Common Factor
We found the factors 506,2476 . The biggest common factor number is the GCF number.
So the greatest common factor 506,2476 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 2883/506, 1986/2476?
Answer: LCM of Numerators as per given numbers 2883/506, 1986/2476 is
LCM of Numerators i.e. for 2883,1986 is 1908546
GCF of denominators i.e. for 506,2476 is 2.
Thus, LCM of Fractions is 954273.Finally, LCM of Fractions for 2883/506, 1986/2476 is 954273.