Least Common Multiple of 543/190, 5379/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 543/190, 5379/187 quickly i.e. 973599 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 543/190, 5379/187 is 973599.

LCM(543/190, 5379/187) = 973599

LCM of 543/190, 5379/187

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 543/190,5379/187

Given numbers are 543/190,5379/187

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 543,5379

Least Common Multiple of Numerators i.e. LCM of 543,5379 is 973599.

GCF of Denominators means GCF of 190,187 as per the given fractions.

GCF of 190,187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 543,5379

LCM of Fractions 543/190,5379/187 is 973599

3 543, 5379
181, 1793

∴ So the LCM of the given numbers is 3 x 181 x 1793 = 973599

Least Common Multiple of 543,5379 with GCF Formula

Least Common Multiple of 543,5379 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 543,5379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,5379) = 3

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

GCF(543,5379) x common factors =3 x 1 = 3

LCM(543,5379) = ( 543 × 5379 ) / 3

LCM(543,5379) = 2920797 / 3

LCM(543,5379) = 973599


Lets's calculate GCF of 190,187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 973599/1

Therefore the LCM of Fractions 543/190,5379/187 is 973599

Greatest Common Factor of 190,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 190,187 By Matching Biggest Common Factor Method

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 190,187 . The biggest common factor number is the GCF number.
So the greatest common factor 190,187 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 543/190, 5379/187

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 543/190, 5379/187?

Answer: LCM of Numerators as per given numbers 543/190, 5379/187 is

LCM of Numerators i.e. for 543,5379 is 973599

GCF of denominators i.e. for 190,187 is 1.

Thus, LCM of Fractions is 973599.Finally, LCM of Fractions for 543/190, 5379/187 is 973599.