Least Common Multiple of 1409/274, 2738/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1409/274, 2738/205 quickly i.e. 3857842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1409/274, 2738/205 is 3857842.

LCM(1409/274, 2738/205) = 3857842

LCM of 1409/274, 2738/205

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 1409/274,2738/205

Given numbers are 1409/274,2738/205

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 1409,2738

Least Common Multiple of Numerators i.e. LCM of 1409,2738 is 3857842.

GCF of Denominators means GCF of 274,205 as per the given fractions.

GCF of 274,205 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1409,2738

LCM of Fractions 1409/274,2738/205 is 3857842

Given numbers has no common factors except 1. So, there LCM is their product i.e 3857842

Least Common Multiple of 1409,2738 with GCF Formula

Least Common Multiple of 1409,2738 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 1409,2738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1409,2738) = 1

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

GCF(1409,2738) x common factors =1 x 1 = 1

LCM(1409,2738) = ( 1409 × 2738 ) / 1

LCM(1409,2738) = 3857842 / 1

LCM(1409,2738) = 3857842


Lets's calculate GCF of 274,205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3857842/1

Therefore the LCM of Fractions 1409/274,2738/205 is 3857842

Greatest Common Factor of 274,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,205 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 205

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

1,5,41,205

Greatest Common Factor

We found the factors 274,205 . The biggest common factor number is the GCF number.
So the greatest common factor 274,205 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 1409/274, 2738/205

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 1409/274, 2738/205?

Answer: LCM of Numerators as per given numbers 1409/274, 2738/205 is

LCM of Numerators i.e. for 1409,2738 is 3857842

GCF of denominators i.e. for 274,205 is 1.

Thus, LCM of Fractions is 3857842.Finally, LCM of Fractions for 1409/274, 2738/205 is 3857842.