Least Common Multiple of 711/429, 408/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 711/429, 408/276 quickly i.e. 32232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/429, 408/276 is 32232.

LCM(711/429, 408/276) = 32232

LCM of 711/429, 408/276

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 711/429,408/276

Given numbers are 711/429,408/276

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 711,408

Least Common Multiple of Numerators i.e. LCM of 711,408 is 96696.

GCF of Denominators means GCF of 429,276 as per the given fractions.

GCF of 429,276 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,408

LCM of Fractions 711/429,408/276 is 32232

3 711, 408
237, 136

∴ So the LCM of the given numbers is 3 x 237 x 136 = 96696

Least Common Multiple of 711,408 with GCF Formula

Least Common Multiple of 711,408 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 711,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,408) = 3

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

GCF(711,408) x common factors =3 x 1 = 3

LCM(711,408) = ( 711 × 408 ) / 3

LCM(711,408) = 290088 / 3

LCM(711,408) = 96696


Lets's calculate GCF of 429,276

3 429, 276
143, 92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96696/3

Therefore the LCM of Fractions 711/429,408/276 is 32232

Greatest Common Factor of 429,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,276 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 429,276 . The biggest common factor number is the GCF number.
So the greatest common factor 429,276 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 711/429, 408/276

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 711/429, 408/276?

Answer: LCM of Numerators as per given numbers 711/429, 408/276 is

LCM of Numerators i.e. for 711,408 is 96696

GCF of denominators i.e. for 429,276 is 3.

Thus, LCM of Fractions is 32232.Finally, LCM of Fractions for 711/429, 408/276 is 32232.