Least Common Multiple of 2673/218, 8018/3872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2673/218, 8018/3872 quickly i.e. 10716057 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2673/218, 8018/3872 is 10716057.

LCM(2673/218, 8018/3872) = 10716057

LCM of 2673/218, 8018/3872

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 2673/218,8018/3872

Given numbers are 2673/218,8018/3872

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 2673,8018

Least Common Multiple of Numerators i.e. LCM of 2673,8018 is 21432114.

GCF of Denominators means GCF of 218,3872 as per the given fractions.

GCF of 218,3872 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2673,8018

LCM of Fractions 2673/218,8018/3872 is 10716057

Given numbers has no common factors except 1. So, there LCM is their product i.e 21432114

Least Common Multiple of 2673,8018 with GCF Formula

Least Common Multiple of 2673,8018 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 2673,8018 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2673,8018) = 1

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

GCF(2673,8018) x common factors =1 x 1 = 1

LCM(2673,8018) = ( 2673 × 8018 ) / 1

LCM(2673,8018) = 21432114 / 1

LCM(2673,8018) = 21432114


Lets's calculate GCF of 218,3872

2 218, 3872
109, 1936

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21432114/2

Therefore the LCM of Fractions 2673/218,8018/3872 is 10716057

Greatest Common Factor of 218,3872 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,3872 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 3872

List of positive integer factors of 3872 that divides 3872 without a remainder.

1,2,4,8,11,16,22,32,44,88,121,176,242,352,484,968,1936,3872

Greatest Common Factor

We found the factors 218,3872 . The biggest common factor number is the GCF number.
So the greatest common factor 218,3872 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2673/218, 8018/3872

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 2673/218, 8018/3872?

Answer: LCM of Numerators as per given numbers 2673/218, 8018/3872 is

LCM of Numerators i.e. for 2673,8018 is 21432114

GCF of denominators i.e. for 218,3872 is 2.

Thus, LCM of Fractions is 10716057.Finally, LCM of Fractions for 2673/218, 8018/3872 is 10716057.