Least Common Multiple of 74/455, 60/249, 227/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/455, 60/249, 227/273 quickly i.e. 503940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/455, 60/249, 227/273 is 503940.

LCM(74/455, 60/249, 227/273) = 503940

LCM of 74/455, 60/249, 227/273

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 74/455,60/249,227/273

Given numbers are 74/455,60/249,227/273

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 74,60,227

Least Common Multiple of Numerators i.e. LCM of 74,60,227 is 503940.

GCF of Denominators means GCF of 455,249,273 as per the given fractions.

GCF of 455,249,273 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,60,227

LCM of Fractions 74/455,60/249,227/273 is 503940

2 74, 60, 227
37, 30, 227

∴ So the LCM of the given numbers is 2 x 37 x 30 x 227 = 503940

Least Common Multiple of 74,60,227 with GCF Formula

Least Common Multiple of 74,60,227 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 74,60,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,60,227) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,60,227) x common factors =1 x 2 = 2

LCM(74,60,227) = ( 74 × 60 × 227 ) / 2

LCM(74,60,227) = 1007880 / 2

LCM(74,60,227) = 503940


Lets's calculate GCF of 455,249,273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503940/1

Therefore the LCM of Fractions 74/455,60/249,227/273 is 503940

Greatest Common Factor of 455,249,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,249,273 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 455,249,273 . The biggest common factor number is the GCF number.
So the greatest common factor 455,249,273 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 74/455, 60/249, 227/273

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 74/455, 60/249, 227/273?

Answer: LCM of Numerators as per given numbers 74/455, 60/249, 227/273 is

LCM of Numerators i.e. for 74,60,227 is 503940

GCF of denominators i.e. for 455,249,273 is 1.

Thus, LCM of Fractions is 503940.Finally, LCM of Fractions for 74/455, 60/249, 227/273 is 503940.