Least Common Multiple of 992/640, 1806/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 992/640, 1806/672 quickly i.e. 27993 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 992/640, 1806/672 is 27993.

LCM(992/640, 1806/672) = 27993

LCM of 992/640, 1806/672

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 992/640,1806/672

Given numbers are 992/640,1806/672

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 992,1806

Least Common Multiple of Numerators i.e. LCM of 992,1806 is 895776.

GCF of Denominators means GCF of 640,672 as per the given fractions.

GCF of 640,672 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 992,1806

LCM of Fractions 992/640,1806/672 is 27993

2 992, 1806
496, 903

∴ So the LCM of the given numbers is 2 x 496 x 903 = 895776

Least Common Multiple of 992,1806 with GCF Formula

Least Common Multiple of 992,1806 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 992,1806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,1806) = 2

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

GCF(992,1806) x common factors =2 x 1 = 2

LCM(992,1806) = ( 992 × 1806 ) / 2

LCM(992,1806) = 1791552 / 2

LCM(992,1806) = 895776


Lets's calculate GCF of 640,672

2 640, 672
2 320, 336
2 160, 168
2 80, 84
2 40, 42
20, 21

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 895776/32

Therefore the LCM of Fractions 992/640,1806/672 is 27993

Greatest Common Factor of 640,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,672 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 640,672 . The biggest common factor number is the GCF number.
So the greatest common factor 640,672 is 32.


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 992/640, 1806/672

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 992/640, 1806/672?

Answer: LCM of Numerators as per given numbers 992/640, 1806/672 is

LCM of Numerators i.e. for 992,1806 is 895776

GCF of denominators i.e. for 640,672 is 32.

Thus, LCM of Fractions is 27993.Finally, LCM of Fractions for 992/640, 1806/672 is 27993.