Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 312/596, 1071/986 quickly i.e. 55692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 312/596, 1071/986 is 55692.
LCM(312/596, 1071/986) = 55692
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 312/596,1071/986
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 312,1071
Least Common Multiple of Numerators i.e. LCM of 312,1071 is 111384.
GCF of Denominators means GCF of 596,986 as per the given fractions.
GCF of 596,986 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 312,1071
3 | 312, 1071 |
104, 357 |
∴ So the LCM of the given numbers is 3 x 104 x 357 = 111384
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 312,1071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,1071) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(312,1071) x common factors =3 x 1 = 3
LCM(312,1071) = ( 312 × 1071 ) / 3
LCM(312,1071) = 334152 / 3
LCM(312,1071) = 111384
Lets's calculate GCF of 596,986
2 | 596, 986 |
298, 493 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111384/2
Therefore the LCM of Fractions 312/596,1071/986 is 55692
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Greatest Common Factor
We found the factors 596,986 . The biggest common factor number is the GCF number.
So the greatest common factor 596,986 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 312/596, 1071/986?
Answer: LCM of Numerators as per given numbers 312/596, 1071/986 is
LCM of Numerators i.e. for 312,1071 is 111384
GCF of denominators i.e. for 596,986 is 2.
Thus, LCM of Fractions is 55692.Finally, LCM of Fractions for 312/596, 1071/986 is 55692.