Least Common Multiple of 72/288, 7126/5741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/288, 7126/5741 quickly i.e. 256536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/288, 7126/5741 is 256536.

LCM(72/288, 7126/5741) = 256536

LCM of 72/288, 7126/5741

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 72/288,7126/5741

Given numbers are 72/288,7126/5741

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 72,7126

Least Common Multiple of Numerators i.e. LCM of 72,7126 is 256536.

GCF of Denominators means GCF of 288,5741 as per the given fractions.

GCF of 288,5741 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,7126

LCM of Fractions 72/288,7126/5741 is 256536

2 72, 7126
36, 3563

∴ So the LCM of the given numbers is 2 x 36 x 3563 = 256536

Least Common Multiple of 72,7126 with GCF Formula

Least Common Multiple of 72,7126 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 72,7126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,7126) = 2

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

GCF(72,7126) x common factors =2 x 1 = 2

LCM(72,7126) = ( 72 × 7126 ) / 2

LCM(72,7126) = 513072 / 2

LCM(72,7126) = 256536


Lets's calculate GCF of 288,5741

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256536/1

Therefore the LCM of Fractions 72/288,7126/5741 is 256536

Greatest Common Factor of 288,5741 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,5741 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 5741

List of positive integer factors of 5741 that divides 5741 without a remainder.

1,5741

Greatest Common Factor

We found the factors 288,5741 . The biggest common factor number is the GCF number.
So the greatest common factor 288,5741 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 72/288, 7126/5741

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 72/288, 7126/5741?

Answer: LCM of Numerators as per given numbers 72/288, 7126/5741 is

LCM of Numerators i.e. for 72,7126 is 256536

GCF of denominators i.e. for 288,5741 is 1.

Thus, LCM of Fractions is 256536.Finally, LCM of Fractions for 72/288, 7126/5741 is 256536.