Least Common Multiple of 796/660, 3856/4473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 796/660, 3856/4473 quickly i.e. 767344/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 796/660, 3856/4473 is 767344/3.

LCM(796/660, 3856/4473) = 767344/3

LCM of 796/660, 3856/4473

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 796/660,3856/4473

Given numbers are 796/660,3856/4473

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 796,3856

Least Common Multiple of Numerators i.e. LCM of 796,3856 is 767344.

GCF of Denominators means GCF of 660,4473 as per the given fractions.

GCF of 660,4473 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 796,3856

LCM of Fractions 796/660,3856/4473 is 767344/3

2 796, 3856
2 398, 1928
199, 964

∴ So the LCM of the given numbers is 2 x 2 x 199 x 964 = 767344

Least Common Multiple of 796,3856 with GCF Formula

Least Common Multiple of 796,3856 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 796,3856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,3856) = 4

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

GCF(796,3856) x common factors =4 x 1 = 4

LCM(796,3856) = ( 796 × 3856 ) / 4

LCM(796,3856) = 3069376 / 4

LCM(796,3856) = 767344


Lets's calculate GCF of 660,4473

3 660, 4473
220, 1491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 767344/3

Therefore the LCM of Fractions 796/660,3856/4473 is 767344/3

Greatest Common Factor of 660,4473 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,4473 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 4473

List of positive integer factors of 4473 that divides 4473 without a remainder.

1,3,7,9,21,63,71,213,497,639,1491,4473

Greatest Common Factor

We found the factors 660,4473 . The biggest common factor number is the GCF number.
So the greatest common factor 660,4473 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 796/660, 3856/4473

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 796/660, 3856/4473?

Answer: LCM of Numerators as per given numbers 796/660, 3856/4473 is

LCM of Numerators i.e. for 796,3856 is 767344

GCF of denominators i.e. for 660,4473 is 3.

Thus, LCM of Fractions is 767344/3.Finally, LCM of Fractions for 796/660, 3856/4473 is 767344/3.