Least Common Multiple of 2181/188, 1826/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2181/188, 1826/294 quickly i.e. 1991253 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2181/188, 1826/294 is 1991253.

LCM(2181/188, 1826/294) = 1991253

LCM of 2181/188, 1826/294

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 2181/188,1826/294

Given numbers are 2181/188,1826/294

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 2181,1826

Least Common Multiple of Numerators i.e. LCM of 2181,1826 is 3982506.

GCF of Denominators means GCF of 188,294 as per the given fractions.

GCF of 188,294 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2181,1826

LCM of Fractions 2181/188,1826/294 is 1991253

Given numbers has no common factors except 1. So, there LCM is their product i.e 3982506

Least Common Multiple of 2181,1826 with GCF Formula

Least Common Multiple of 2181,1826 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 2181,1826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2181,1826) = 1

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

GCF(2181,1826) x common factors =1 x 1 = 1

LCM(2181,1826) = ( 2181 × 1826 ) / 1

LCM(2181,1826) = 3982506 / 1

LCM(2181,1826) = 3982506


Lets's calculate GCF of 188,294

2 188, 294
94, 147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3982506/2

Therefore the LCM of Fractions 2181/188,1826/294 is 1991253

Greatest Common Factor of 188,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,294 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 188,294 . The biggest common factor number is the GCF number.
So the greatest common factor 188,294 is 2.


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 2181/188, 1826/294

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 2181/188, 1826/294?

Answer: LCM of Numerators as per given numbers 2181/188, 1826/294 is

LCM of Numerators i.e. for 2181,1826 is 3982506

GCF of denominators i.e. for 188,294 is 2.

Thus, LCM of Fractions is 1991253.Finally, LCM of Fractions for 2181/188, 1826/294 is 1991253.