Least Common Multiple of 768/24, 473/4839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/24, 473/4839 quickly i.e. 121088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/24, 473/4839 is 121088.

LCM(768/24, 473/4839) = 121088

LCM of 768/24, 473/4839

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 768/24,473/4839

Given numbers are 768/24,473/4839

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 768,473

Least Common Multiple of Numerators i.e. LCM of 768,473 is 363264.

GCF of Denominators means GCF of 24,4839 as per the given fractions.

GCF of 24,4839 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,473

LCM of Fractions 768/24,473/4839 is 121088

Given numbers has no common factors except 1. So, there LCM is their product i.e 363264

Least Common Multiple of 768,473 with GCF Formula

Least Common Multiple of 768,473 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 768,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,473) = 1

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

GCF(768,473) x common factors =1 x 1 = 1

LCM(768,473) = ( 768 × 473 ) / 1

LCM(768,473) = 363264 / 1

LCM(768,473) = 363264


Lets's calculate GCF of 24,4839

3 24, 4839
8, 1613

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363264/3

Therefore the LCM of Fractions 768/24,473/4839 is 121088

Greatest Common Factor of 24,4839 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,4839 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 4839

List of positive integer factors of 4839 that divides 4839 without a remainder.

1,3,1613,4839

Greatest Common Factor

We found the factors 24,4839 . The biggest common factor number is the GCF number.
So the greatest common factor 24,4839 is 3.


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 768/24, 473/4839

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 768/24, 473/4839?

Answer: LCM of Numerators as per given numbers 768/24, 473/4839 is

LCM of Numerators i.e. for 768,473 is 363264

GCF of denominators i.e. for 24,4839 is 3.

Thus, LCM of Fractions is 121088.Finally, LCM of Fractions for 768/24, 473/4839 is 121088.