Least Common Multiple of 834/45, 871/6711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 834/45, 871/6711 quickly i.e. 242138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 834/45, 871/6711 is 242138.

LCM(834/45, 871/6711) = 242138

LCM of 834/45, 871/6711

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 834/45,871/6711

Given numbers are 834/45,871/6711

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 834,871

Least Common Multiple of Numerators i.e. LCM of 834,871 is 726414.

GCF of Denominators means GCF of 45,6711 as per the given fractions.

GCF of 45,6711 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 834,871

LCM of Fractions 834/45,871/6711 is 242138

Given numbers has no common factors except 1. So, there LCM is their product i.e 726414

Least Common Multiple of 834,871 with GCF Formula

Least Common Multiple of 834,871 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 834,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,871) = 1

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

GCF(834,871) x common factors =1 x 1 = 1

LCM(834,871) = ( 834 × 871 ) / 1

LCM(834,871) = 726414 / 1

LCM(834,871) = 726414


Lets's calculate GCF of 45,6711

3 45, 6711
15, 2237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 726414/3

Therefore the LCM of Fractions 834/45,871/6711 is 242138

Greatest Common Factor of 45,6711 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,6711 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 6711

List of positive integer factors of 6711 that divides 6711 without a remainder.

1,3,2237,6711

Greatest Common Factor

We found the factors 45,6711 . The biggest common factor number is the GCF number.
So the greatest common factor 45,6711 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 834/45, 871/6711

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 834/45, 871/6711?

Answer: LCM of Numerators as per given numbers 834/45, 871/6711 is

LCM of Numerators i.e. for 834,871 is 726414

GCF of denominators i.e. for 45,6711 is 3.

Thus, LCM of Fractions is 242138.Finally, LCM of Fractions for 834/45, 871/6711 is 242138.