Least Common Multiple of 6797/111, 6942/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6797/111, 6942/162 quickly i.e. 15728258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6797/111, 6942/162 is 15728258.

LCM(6797/111, 6942/162) = 15728258

LCM of 6797/111, 6942/162

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 6797/111,6942/162

Given numbers are 6797/111,6942/162

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 6797,6942

Least Common Multiple of Numerators i.e. LCM of 6797,6942 is 47184774.

GCF of Denominators means GCF of 111,162 as per the given fractions.

GCF of 111,162 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6797,6942

LCM of Fractions 6797/111,6942/162 is 15728258

Given numbers has no common factors except 1. So, there LCM is their product i.e 47184774

Least Common Multiple of 6797,6942 with GCF Formula

Least Common Multiple of 6797,6942 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 6797,6942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6797,6942) = 1

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

GCF(6797,6942) x common factors =1 x 1 = 1

LCM(6797,6942) = ( 6797 × 6942 ) / 1

LCM(6797,6942) = 47184774 / 1

LCM(6797,6942) = 47184774


Lets's calculate GCF of 111,162

3 111, 162
37, 54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47184774/3

Therefore the LCM of Fractions 6797/111,6942/162 is 15728258

Greatest Common Factor of 111,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,162 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 111,162 . The biggest common factor number is the GCF number.
So the greatest common factor 111,162 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6797/111, 6942/162

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 6797/111, 6942/162?

Answer: LCM of Numerators as per given numbers 6797/111, 6942/162 is

LCM of Numerators i.e. for 6797,6942 is 47184774

GCF of denominators i.e. for 111,162 is 3.

Thus, LCM of Fractions is 15728258.Finally, LCM of Fractions for 6797/111, 6942/162 is 15728258.