Least Common Multiple of 54/208, 2649/8424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/208, 2649/8424 quickly i.e. 47682/104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/208, 2649/8424 is 47682/104.

LCM(54/208, 2649/8424) = 47682/104

LCM of 54/208, 2649/8424

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 54/208,2649/8424

Given numbers are 54/208,2649/8424

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 54,2649

Least Common Multiple of Numerators i.e. LCM of 54,2649 is 47682.

GCF of Denominators means GCF of 208,8424 as per the given fractions.

GCF of 208,8424 is 104 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,2649

LCM of Fractions 54/208,2649/8424 is 47682/104

3 54, 2649
18, 883

∴ So the LCM of the given numbers is 3 x 18 x 883 = 47682

Least Common Multiple of 54,2649 with GCF Formula

Least Common Multiple of 54,2649 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 54,2649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,2649) = 3

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

GCF(54,2649) x common factors =3 x 1 = 3

LCM(54,2649) = ( 54 × 2649 ) / 3

LCM(54,2649) = 143046 / 3

LCM(54,2649) = 47682


Lets's calculate GCF of 208,8424

2 208, 8424
2 104, 4212
2 52, 2106
13 26, 1053
2, 81

∴ So the GCF of the given numbers is 2 x 2 x 2 x 13 = 104

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47682/104

Therefore the LCM of Fractions 54/208,2649/8424 is 47682/104

Greatest Common Factor of 208,8424 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,8424 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 8424

List of positive integer factors of 8424 that divides 8424 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,81,104,108,117,156,162,216,234,312,324,351,468,648,702,936,1053,1404,2106,2808,4212,8424

Greatest Common Factor

We found the factors 208,8424 . The biggest common factor number is the GCF number.
So the greatest common factor 208,8424 is 104.


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 54/208, 2649/8424

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 54/208, 2649/8424?

Answer: LCM of Numerators as per given numbers 54/208, 2649/8424 is

LCM of Numerators i.e. for 54,2649 is 47682

GCF of denominators i.e. for 208,8424 is 104.

Thus, LCM of Fractions is 47682/104.Finally, LCM of Fractions for 54/208, 2649/8424 is 47682/104.