Least Common Multiple of 273/90, 338/1228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 273/90, 338/1228 quickly i.e. 3549 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 273/90, 338/1228 is 3549.

LCM(273/90, 338/1228) = 3549

LCM of 273/90, 338/1228

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 273/90,338/1228

Given numbers are 273/90,338/1228

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 273,338

Least Common Multiple of Numerators i.e. LCM of 273,338 is 7098.

GCF of Denominators means GCF of 90,1228 as per the given fractions.

GCF of 90,1228 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 273,338

LCM of Fractions 273/90,338/1228 is 3549

13 273, 338
21, 26

∴ So the LCM of the given numbers is 13 x 21 x 26 = 7098

Least Common Multiple of 273,338 with GCF Formula

Least Common Multiple of 273,338 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 273,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,338) = 13

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

GCF(273,338) x common factors =13 x 1 = 13

LCM(273,338) = ( 273 × 338 ) / 13

LCM(273,338) = 92274 / 13

LCM(273,338) = 7098


Lets's calculate GCF of 90,1228

2 90, 1228
45, 614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7098/2

Therefore the LCM of Fractions 273/90,338/1228 is 3549

Greatest Common Factor of 90,1228 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,1228 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 1228

List of positive integer factors of 1228 that divides 1228 without a remainder.

1,2,4,307,614,1228

Greatest Common Factor

We found the factors 90,1228 . The biggest common factor number is the GCF number.
So the greatest common factor 90,1228 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 273/90, 338/1228

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 273/90, 338/1228?

Answer: LCM of Numerators as per given numbers 273/90, 338/1228 is

LCM of Numerators i.e. for 273,338 is 7098

GCF of denominators i.e. for 90,1228 is 2.

Thus, LCM of Fractions is 3549.Finally, LCM of Fractions for 273/90, 338/1228 is 3549.