Least Common Multiple of 69/790, 54/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/790, 54/831 quickly i.e. 1242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/790, 54/831 is 1242.

LCM(69/790, 54/831) = 1242

LCM of 69/790, 54/831

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 69/790,54/831

Given numbers are 69/790,54/831

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 69,54

Least Common Multiple of Numerators i.e. LCM of 69,54 is 1242.

GCF of Denominators means GCF of 790,831 as per the given fractions.

GCF of 790,831 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,54

LCM of Fractions 69/790,54/831 is 1242

3 69, 54
23, 18

∴ So the LCM of the given numbers is 3 x 23 x 18 = 1242

Least Common Multiple of 69,54 with GCF Formula

Least Common Multiple of 69,54 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 69,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,54) = 3

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

GCF(69,54) x common factors =3 x 1 = 3

LCM(69,54) = ( 69 × 54 ) / 3

LCM(69,54) = 3726 / 3

LCM(69,54) = 1242


Lets's calculate GCF of 790,831

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1242/1

Therefore the LCM of Fractions 69/790,54/831 is 1242

Greatest Common Factor of 790,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,831 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 790,831 . The biggest common factor number is the GCF number.
So the greatest common factor 790,831 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/790, 54/831

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 69/790, 54/831?

Answer: LCM of Numerators as per given numbers 69/790, 54/831 is

LCM of Numerators i.e. for 69,54 is 1242

GCF of denominators i.e. for 790,831 is 1.

Thus, LCM of Fractions is 1242.Finally, LCM of Fractions for 69/790, 54/831 is 1242.