Least Common Multiple of 7343/24, 5343/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7343/24, 5343/144 quickly i.e. 39233649/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7343/24, 5343/144 is 39233649/24.

LCM(7343/24, 5343/144) = 39233649/24

LCM of 7343/24, 5343/144

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 7343/24,5343/144

Given numbers are 7343/24,5343/144

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 7343,5343

Least Common Multiple of Numerators i.e. LCM of 7343,5343 is 39233649.

GCF of Denominators means GCF of 24,144 as per the given fractions.

GCF of 24,144 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7343,5343

LCM of Fractions 7343/24,5343/144 is 39233649/24

Given numbers has no common factors except 1. So, there LCM is their product i.e 39233649

Least Common Multiple of 7343,5343 with GCF Formula

Least Common Multiple of 7343,5343 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 7343,5343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7343,5343) = 1

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

GCF(7343,5343) x common factors =1 x 1 = 1

LCM(7343,5343) = ( 7343 × 5343 ) / 1

LCM(7343,5343) = 39233649 / 1

LCM(7343,5343) = 39233649


Lets's calculate GCF of 24,144

2 24, 144
2 12, 72
2 6, 36
3 3, 18
1, 6

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39233649/24

Therefore the LCM of Fractions 7343/24,5343/144 is 39233649/24

Greatest Common Factor of 24,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,144 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 24,144 . The biggest common factor number is the GCF number.
So the greatest common factor 24,144 is 24.


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 7343/24, 5343/144

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 7343/24, 5343/144?

Answer: LCM of Numerators as per given numbers 7343/24, 5343/144 is

LCM of Numerators i.e. for 7343,5343 is 39233649

GCF of denominators i.e. for 24,144 is 24.

Thus, LCM of Fractions is 39233649/24.Finally, LCM of Fractions for 7343/24, 5343/144 is 39233649/24.