Least Common Multiple of 11/543, 50/288, 648/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/543, 50/288, 648/942 quickly i.e. 59400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/543, 50/288, 648/942 is 59400.

LCM(11/543, 50/288, 648/942) = 59400

LCM of 11/543, 50/288, 648/942

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 11/543,50/288,648/942

Given numbers are 11/543,50/288,648/942

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 11,50,648

Least Common Multiple of Numerators i.e. LCM of 11,50,648 is 178200.

GCF of Denominators means GCF of 543,288,942 as per the given fractions.

GCF of 543,288,942 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,50,648

LCM of Fractions 11/543,50/288,648/942 is 59400

2 11, 50, 648
11, 25, 324

∴ So the LCM of the given numbers is 2 x 11 x 25 x 324 = 178200

Least Common Multiple of 11,50,648 with GCF Formula

Least Common Multiple of 11,50,648 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 11,50,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,50,648) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(11,50,648) x common factors =1 x 2 = 2

LCM(11,50,648) = ( 11 × 50 × 648 ) / 2

LCM(11,50,648) = 356400 / 2

LCM(11,50,648) = 178200


Lets's calculate GCF of 543,288,942

3 543, 288, 942
181, 96, 314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178200/3

Therefore the LCM of Fractions 11/543,50/288,648/942 is 59400

Greatest Common Factor of 543,288,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,288,942 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 543,288,942 . The biggest common factor number is the GCF number.
So the greatest common factor 543,288,942 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 11/543, 50/288, 648/942

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 11/543, 50/288, 648/942?

Answer: LCM of Numerators as per given numbers 11/543, 50/288, 648/942 is

LCM of Numerators i.e. for 11,50,648 is 178200

GCF of denominators i.e. for 543,288,942 is 3.

Thus, LCM of Fractions is 59400.Finally, LCM of Fractions for 11/543, 50/288, 648/942 is 59400.