Least Common Multiple of 46/224, 24/377, 523/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/224, 24/377, 523/303 quickly i.e. 288696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/224, 24/377, 523/303 is 288696.

LCM(46/224, 24/377, 523/303) = 288696

LCM of 46/224, 24/377, 523/303

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 46/224,24/377,523/303

Given numbers are 46/224,24/377,523/303

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 46,24,523

Least Common Multiple of Numerators i.e. LCM of 46,24,523 is 288696.

GCF of Denominators means GCF of 224,377,303 as per the given fractions.

GCF of 224,377,303 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,24,523

LCM of Fractions 46/224,24/377,523/303 is 288696

2 46, 24, 523
23, 12, 523

∴ So the LCM of the given numbers is 2 x 23 x 12 x 523 = 288696

Least Common Multiple of 46,24,523 with GCF Formula

Least Common Multiple of 46,24,523 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 46,24,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,24,523) = 1

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

GCF(46,24,523) x common factors =1 x 2 = 2

LCM(46,24,523) = ( 46 × 24 × 523 ) / 2

LCM(46,24,523) = 577392 / 2

LCM(46,24,523) = 288696


Lets's calculate GCF of 224,377,303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288696/1

Therefore the LCM of Fractions 46/224,24/377,523/303 is 288696

Greatest Common Factor of 224,377,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,377,303 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 224,377,303 . The biggest common factor number is the GCF number.
So the greatest common factor 224,377,303 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 46/224, 24/377, 523/303

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 46/224, 24/377, 523/303?

Answer: LCM of Numerators as per given numbers 46/224, 24/377, 523/303 is

LCM of Numerators i.e. for 46,24,523 is 288696

GCF of denominators i.e. for 224,377,303 is 1.

Thus, LCM of Fractions is 288696.Finally, LCM of Fractions for 46/224, 24/377, 523/303 is 288696.