Least Common Multiple of 273/549, 7228/1926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 273/549, 7228/1926 quickly i.e. 151788/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 273/549, 7228/1926 is 151788/9.

LCM(273/549, 7228/1926) = 151788/9

LCM of 273/549, 7228/1926

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 273/549,7228/1926

Given numbers are 273/549,7228/1926

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 273,7228

Least Common Multiple of Numerators i.e. LCM of 273,7228 is 151788.

GCF of Denominators means GCF of 549,1926 as per the given fractions.

GCF of 549,1926 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 273,7228

LCM of Fractions 273/549,7228/1926 is 151788/9

13 273, 7228
21, 556

∴ So the LCM of the given numbers is 13 x 21 x 556 = 151788

Least Common Multiple of 273,7228 with GCF Formula

Least Common Multiple of 273,7228 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 273,7228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,7228) = 13

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

GCF(273,7228) x common factors =13 x 1 = 13

LCM(273,7228) = ( 273 × 7228 ) / 13

LCM(273,7228) = 1973244 / 13

LCM(273,7228) = 151788


Lets's calculate GCF of 549,1926

3 549, 1926
3 183, 642
61, 214

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151788/9

Therefore the LCM of Fractions 273/549,7228/1926 is 151788/9

Greatest Common Factor of 549,1926 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,1926 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 1926

List of positive integer factors of 1926 that divides 1926 without a remainder.

1,2,3,6,9,18,107,214,321,642,963,1926

Greatest Common Factor

We found the factors 549,1926 . The biggest common factor number is the GCF number.
So the greatest common factor 549,1926 is 9.


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 273/549, 7228/1926

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 273/549, 7228/1926?

Answer: LCM of Numerators as per given numbers 273/549, 7228/1926 is

LCM of Numerators i.e. for 273,7228 is 151788

GCF of denominators i.e. for 549,1926 is 9.

Thus, LCM of Fractions is 151788/9.Finally, LCM of Fractions for 273/549, 7228/1926 is 151788/9.