Least Common Multiple of 992/46, 263/3928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 992/46, 263/3928 quickly i.e. 130448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 992/46, 263/3928 is 130448.

LCM(992/46, 263/3928) = 130448

LCM of 992/46, 263/3928

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 992/46,263/3928

Given numbers are 992/46,263/3928

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 992,263

Least Common Multiple of Numerators i.e. LCM of 992,263 is 260896.

GCF of Denominators means GCF of 46,3928 as per the given fractions.

GCF of 46,3928 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 992,263

LCM of Fractions 992/46,263/3928 is 130448

Given numbers has no common factors except 1. So, there LCM is their product i.e 260896

Least Common Multiple of 992,263 with GCF Formula

Least Common Multiple of 992,263 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 992,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,263) = 1

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

GCF(992,263) x common factors =1 x 1 = 1

LCM(992,263) = ( 992 × 263 ) / 1

LCM(992,263) = 260896 / 1

LCM(992,263) = 260896


Lets's calculate GCF of 46,3928

2 46, 3928
23, 1964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260896/2

Therefore the LCM of Fractions 992/46,263/3928 is 130448

Greatest Common Factor of 46,3928 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,3928 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 3928

List of positive integer factors of 3928 that divides 3928 without a remainder.

1,2,4,8,491,982,1964,3928

Greatest Common Factor

We found the factors 46,3928 . The biggest common factor number is the GCF number.
So the greatest common factor 46,3928 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 992/46, 263/3928

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 992/46, 263/3928?

Answer: LCM of Numerators as per given numbers 992/46, 263/3928 is

LCM of Numerators i.e. for 992,263 is 260896

GCF of denominators i.e. for 46,3928 is 2.

Thus, LCM of Fractions is 130448.Finally, LCM of Fractions for 992/46, 263/3928 is 130448.