Least Common Multiple of 6711/214, 3118/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6711/214, 3118/675 quickly i.e. 20924898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6711/214, 3118/675 is 20924898.

LCM(6711/214, 3118/675) = 20924898

LCM of 6711/214, 3118/675

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 6711/214,3118/675

Given numbers are 6711/214,3118/675

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 6711,3118

Least Common Multiple of Numerators i.e. LCM of 6711,3118 is 20924898.

GCF of Denominators means GCF of 214,675 as per the given fractions.

GCF of 214,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6711,3118

LCM of Fractions 6711/214,3118/675 is 20924898

Given numbers has no common factors except 1. So, there LCM is their product i.e 20924898

Least Common Multiple of 6711,3118 with GCF Formula

Least Common Multiple of 6711,3118 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 6711,3118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6711,3118) = 1

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

GCF(6711,3118) x common factors =1 x 1 = 1

LCM(6711,3118) = ( 6711 × 3118 ) / 1

LCM(6711,3118) = 20924898 / 1

LCM(6711,3118) = 20924898


Lets's calculate GCF of 214,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20924898/1

Therefore the LCM of Fractions 6711/214,3118/675 is 20924898

Greatest Common Factor of 214,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,675 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 214,675 . The biggest common factor number is the GCF number.
So the greatest common factor 214,675 is 1.


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 6711/214, 3118/675

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 6711/214, 3118/675?

Answer: LCM of Numerators as per given numbers 6711/214, 3118/675 is

LCM of Numerators i.e. for 6711,3118 is 20924898

GCF of denominators i.e. for 214,675 is 1.

Thus, LCM of Fractions is 20924898.Finally, LCM of Fractions for 6711/214, 3118/675 is 20924898.