Least Common Multiple of 774/32, 3304/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 774/32, 3304/484 quickly i.e. 319662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 774/32, 3304/484 is 319662.

LCM(774/32, 3304/484) = 319662

LCM of 774/32, 3304/484

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 774/32,3304/484

Given numbers are 774/32,3304/484

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 774,3304

Least Common Multiple of Numerators i.e. LCM of 774,3304 is 1278648.

GCF of Denominators means GCF of 32,484 as per the given fractions.

GCF of 32,484 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 774,3304

LCM of Fractions 774/32,3304/484 is 319662

2 774, 3304
387, 1652

∴ So the LCM of the given numbers is 2 x 387 x 1652 = 1278648

Least Common Multiple of 774,3304 with GCF Formula

Least Common Multiple of 774,3304 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 774,3304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,3304) = 2

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

GCF(774,3304) x common factors =2 x 1 = 2

LCM(774,3304) = ( 774 × 3304 ) / 2

LCM(774,3304) = 2557296 / 2

LCM(774,3304) = 1278648


Lets's calculate GCF of 32,484

2 32, 484
2 16, 242
8, 121

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1278648/4

Therefore the LCM of Fractions 774/32,3304/484 is 319662

Greatest Common Factor of 32,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,484 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 32,484 . The biggest common factor number is the GCF number.
So the greatest common factor 32,484 is 4.


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 774/32, 3304/484

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 774/32, 3304/484?

Answer: LCM of Numerators as per given numbers 774/32, 3304/484 is

LCM of Numerators i.e. for 774,3304 is 1278648

GCF of denominators i.e. for 32,484 is 4.

Thus, LCM of Fractions is 319662.Finally, LCM of Fractions for 774/32, 3304/484 is 319662.