Least Common Multiple of 54/205, 40/558, 292/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/205, 40/558, 292/503 quickly i.e. 78840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/205, 40/558, 292/503 is 78840.

LCM(54/205, 40/558, 292/503) = 78840

LCM of 54/205, 40/558, 292/503

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 54/205,40/558,292/503

Given numbers are 54/205,40/558,292/503

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 54,40,292

Least Common Multiple of Numerators i.e. LCM of 54,40,292 is 78840.

GCF of Denominators means GCF of 205,558,503 as per the given fractions.

GCF of 205,558,503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,40,292

LCM of Fractions 54/205,40/558,292/503 is 78840

2 54, 40, 292
2 27, 20, 146
27, 10, 73

∴ So the LCM of the given numbers is 2 x 2 x 27 x 10 x 73 = 78840

Least Common Multiple of 54,40,292 with GCF Formula

Least Common Multiple of 54,40,292 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 54,40,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,40,292) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(54,40,292) x common factors =2 x 4 = 8

LCM(54,40,292) = ( 54 × 40 × 292 ) / 8

LCM(54,40,292) = 630720 / 8

LCM(54,40,292) = 78840


Lets's calculate GCF of 205,558,503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78840/1

Therefore the LCM of Fractions 54/205,40/558,292/503 is 78840

Greatest Common Factor of 205,558,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,558,503 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 205,558,503 . The biggest common factor number is the GCF number.
So the greatest common factor 205,558,503 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 54/205, 40/558, 292/503

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 54/205, 40/558, 292/503?

Answer: LCM of Numerators as per given numbers 54/205, 40/558, 292/503 is

LCM of Numerators i.e. for 54,40,292 is 78840

GCF of denominators i.e. for 205,558,503 is 1.

Thus, LCM of Fractions is 78840.Finally, LCM of Fractions for 54/205, 40/558, 292/503 is 78840.