Least Common Multiple of 7992/499, 5765/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7992/499, 5765/392 quickly i.e. 46073880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7992/499, 5765/392 is 46073880.

LCM(7992/499, 5765/392) = 46073880

LCM of 7992/499, 5765/392

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 7992/499,5765/392

Given numbers are 7992/499,5765/392

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 7992,5765

Least Common Multiple of Numerators i.e. LCM of 7992,5765 is 46073880.

GCF of Denominators means GCF of 499,392 as per the given fractions.

GCF of 499,392 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7992,5765

LCM of Fractions 7992/499,5765/392 is 46073880

Given numbers has no common factors except 1. So, there LCM is their product i.e 46073880

Least Common Multiple of 7992,5765 with GCF Formula

Least Common Multiple of 7992,5765 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 7992,5765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7992,5765) = 1

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

GCF(7992,5765) x common factors =1 x 1 = 1

LCM(7992,5765) = ( 7992 × 5765 ) / 1

LCM(7992,5765) = 46073880 / 1

LCM(7992,5765) = 46073880


Lets's calculate GCF of 499,392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46073880/1

Therefore the LCM of Fractions 7992/499,5765/392 is 46073880

Greatest Common Factor of 499,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,392 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 499,392 . The biggest common factor number is the GCF number.
So the greatest common factor 499,392 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 7992/499, 5765/392

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 7992/499, 5765/392?

Answer: LCM of Numerators as per given numbers 7992/499, 5765/392 is

LCM of Numerators i.e. for 7992,5765 is 46073880

GCF of denominators i.e. for 499,392 is 1.

Thus, LCM of Fractions is 46073880.Finally, LCM of Fractions for 7992/499, 5765/392 is 46073880.