Least Common Multiple of 48/768, 8711/1454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/768, 8711/1454 quickly i.e. 209064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/768, 8711/1454 is 209064.

LCM(48/768, 8711/1454) = 209064

LCM of 48/768, 8711/1454

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 48/768,8711/1454

Given numbers are 48/768,8711/1454

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 48,8711

Least Common Multiple of Numerators i.e. LCM of 48,8711 is 418128.

GCF of Denominators means GCF of 768,1454 as per the given fractions.

GCF of 768,1454 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,8711

LCM of Fractions 48/768,8711/1454 is 209064

Given numbers has no common factors except 1. So, there LCM is their product i.e 418128

Least Common Multiple of 48,8711 with GCF Formula

Least Common Multiple of 48,8711 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 48,8711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,8711) = 1

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

GCF(48,8711) x common factors =1 x 1 = 1

LCM(48,8711) = ( 48 × 8711 ) / 1

LCM(48,8711) = 418128 / 1

LCM(48,8711) = 418128


Lets's calculate GCF of 768,1454

2 768, 1454
384, 727

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 418128/2

Therefore the LCM of Fractions 48/768,8711/1454 is 209064

Greatest Common Factor of 768,1454 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,1454 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 1454

List of positive integer factors of 1454 that divides 1454 without a remainder.

1,2,727,1454

Greatest Common Factor

We found the factors 768,1454 . The biggest common factor number is the GCF number.
So the greatest common factor 768,1454 is 2.


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 48/768, 8711/1454

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 48/768, 8711/1454?

Answer: LCM of Numerators as per given numbers 48/768, 8711/1454 is

LCM of Numerators i.e. for 48,8711 is 418128

GCF of denominators i.e. for 768,1454 is 2.

Thus, LCM of Fractions is 209064.Finally, LCM of Fractions for 48/768, 8711/1454 is 209064.