Least Common Multiple of 6754/394, 1471/6196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6754/394, 1471/6196 quickly i.e. 4967567 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6754/394, 1471/6196 is 4967567.

LCM(6754/394, 1471/6196) = 4967567

LCM of 6754/394, 1471/6196

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 6754/394,1471/6196

Given numbers are 6754/394,1471/6196

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 6754,1471

Least Common Multiple of Numerators i.e. LCM of 6754,1471 is 9935134.

GCF of Denominators means GCF of 394,6196 as per the given fractions.

GCF of 394,6196 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6754,1471

LCM of Fractions 6754/394,1471/6196 is 4967567

Given numbers has no common factors except 1. So, there LCM is their product i.e 9935134

Least Common Multiple of 6754,1471 with GCF Formula

Least Common Multiple of 6754,1471 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 6754,1471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6754,1471) = 1

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

GCF(6754,1471) x common factors =1 x 1 = 1

LCM(6754,1471) = ( 6754 × 1471 ) / 1

LCM(6754,1471) = 9935134 / 1

LCM(6754,1471) = 9935134


Lets's calculate GCF of 394,6196

2 394, 6196
197, 3098

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9935134/2

Therefore the LCM of Fractions 6754/394,1471/6196 is 4967567

Greatest Common Factor of 394,6196 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,6196 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 6196

List of positive integer factors of 6196 that divides 6196 without a remainder.

1,2,4,1549,3098,6196

Greatest Common Factor

We found the factors 394,6196 . The biggest common factor number is the GCF number.
So the greatest common factor 394,6196 is 2.


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 6754/394, 1471/6196

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 6754/394, 1471/6196?

Answer: LCM of Numerators as per given numbers 6754/394, 1471/6196 is

LCM of Numerators i.e. for 6754,1471 is 9935134

GCF of denominators i.e. for 394,6196 is 2.

Thus, LCM of Fractions is 4967567.Finally, LCM of Fractions for 6754/394, 1471/6196 is 4967567.