Least Common Multiple of 5986/393, 1984/7062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5986/393, 1984/7062 quickly i.e. 5938112/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5986/393, 1984/7062 is 5938112/3.

LCM(5986/393, 1984/7062) = 5938112/3

LCM of 5986/393, 1984/7062

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 5986/393,1984/7062

Given numbers are 5986/393,1984/7062

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 5986,1984

Least Common Multiple of Numerators i.e. LCM of 5986,1984 is 5938112.

GCF of Denominators means GCF of 393,7062 as per the given fractions.

GCF of 393,7062 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5986,1984

LCM of Fractions 5986/393,1984/7062 is 5938112/3

2 5986, 1984
2993, 992

∴ So the LCM of the given numbers is 2 x 2993 x 992 = 5938112

Least Common Multiple of 5986,1984 with GCF Formula

Least Common Multiple of 5986,1984 with GCF Formula

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 5986,1984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5986,1984) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(5986,1984) x common factors =2 x 1 = 2

LCM(5986,1984) = ( 5986 × 1984 ) / 2

LCM(5986,1984) = 11876224 / 2

LCM(5986,1984) = 5938112


Lets's calculate GCF of 393,7062

3 393, 7062
131, 2354

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5938112/3

Therefore the LCM of Fractions 5986/393,1984/7062 is 5938112/3

Greatest Common Factor of 393,7062 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,7062 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 7062

List of positive integer factors of 7062 that divides 7062 without a remainder.

1,2,3,6,11,22,33,66,107,214,321,642,1177,2354,3531,7062

Greatest Common Factor

We found the factors 393,7062 . The biggest common factor number is the GCF number.
So the greatest common factor 393,7062 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 5986/393, 1984/7062

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 5986/393, 1984/7062?

Answer: LCM of Numerators as per given numbers 5986/393, 1984/7062 is

LCM of Numerators i.e. for 5986,1984 is 5938112

GCF of denominators i.e. for 393,7062 is 3.

Thus, LCM of Fractions is 5938112/3.Finally, LCM of Fractions for 5986/393, 1984/7062 is 5938112/3.