Least Common Multiple of 1895/438, 2673/1143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1895/438, 2673/1143 quickly i.e. 1688445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1895/438, 2673/1143 is 1688445.

LCM(1895/438, 2673/1143) = 1688445

LCM of 1895/438, 2673/1143

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 1895/438,2673/1143

Given numbers are 1895/438,2673/1143

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 1895,2673

Least Common Multiple of Numerators i.e. LCM of 1895,2673 is 5065335.

GCF of Denominators means GCF of 438,1143 as per the given fractions.

GCF of 438,1143 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1895,2673

LCM of Fractions 1895/438,2673/1143 is 1688445

Given numbers has no common factors except 1. So, there LCM is their product i.e 5065335

Least Common Multiple of 1895,2673 with GCF Formula

Least Common Multiple of 1895,2673 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 1895,2673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1895,2673) = 1

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

GCF(1895,2673) x common factors =1 x 1 = 1

LCM(1895,2673) = ( 1895 × 2673 ) / 1

LCM(1895,2673) = 5065335 / 1

LCM(1895,2673) = 5065335


Lets's calculate GCF of 438,1143

3 438, 1143
146, 381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5065335/3

Therefore the LCM of Fractions 1895/438,2673/1143 is 1688445

Greatest Common Factor of 438,1143 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,1143 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 1143

List of positive integer factors of 1143 that divides 1143 without a remainder.

1,3,9,127,381,1143

Greatest Common Factor

We found the factors 438,1143 . The biggest common factor number is the GCF number.
So the greatest common factor 438,1143 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 1895/438, 2673/1143

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 1895/438, 2673/1143?

Answer: LCM of Numerators as per given numbers 1895/438, 2673/1143 is

LCM of Numerators i.e. for 1895,2673 is 5065335

GCF of denominators i.e. for 438,1143 is 3.

Thus, LCM of Fractions is 1688445.Finally, LCM of Fractions for 1895/438, 2673/1143 is 1688445.