Least Common Multiple of 480/239, 7439/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/239, 7439/992 quickly i.e. 3570720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/239, 7439/992 is 3570720.

LCM(480/239, 7439/992) = 3570720

LCM of 480/239, 7439/992

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 480/239,7439/992

Given numbers are 480/239,7439/992

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 480,7439

Least Common Multiple of Numerators i.e. LCM of 480,7439 is 3570720.

GCF of Denominators means GCF of 239,992 as per the given fractions.

GCF of 239,992 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,7439

LCM of Fractions 480/239,7439/992 is 3570720

Given numbers has no common factors except 1. So, there LCM is their product i.e 3570720

Least Common Multiple of 480,7439 with GCF Formula

Least Common Multiple of 480,7439 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 480,7439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,7439) = 1

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

GCF(480,7439) x common factors =1 x 1 = 1

LCM(480,7439) = ( 480 × 7439 ) / 1

LCM(480,7439) = 3570720 / 1

LCM(480,7439) = 3570720


Lets's calculate GCF of 239,992

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3570720/1

Therefore the LCM of Fractions 480/239,7439/992 is 3570720

Greatest Common Factor of 239,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,992 By Matching Biggest Common Factor Method

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 239,992 . The biggest common factor number is the GCF number.
So the greatest common factor 239,992 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 480/239, 7439/992

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 480/239, 7439/992?

Answer: LCM of Numerators as per given numbers 480/239, 7439/992 is

LCM of Numerators i.e. for 480,7439 is 3570720

GCF of denominators i.e. for 239,992 is 1.

Thus, LCM of Fractions is 3570720.Finally, LCM of Fractions for 480/239, 7439/992 is 3570720.