Least Common Multiple of 469/27, 628/38, 328/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/27, 628/38, 328/804 quickly i.e. 24151624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/27, 628/38, 328/804 is 24151624.

LCM(469/27, 628/38, 328/804) = 24151624

LCM of 469/27, 628/38, 328/804

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 469/27,628/38,328/804

Given numbers are 469/27,628/38,328/804

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 469,628,328

Least Common Multiple of Numerators i.e. LCM of 469,628,328 is 24151624.

GCF of Denominators means GCF of 27,38,804 as per the given fractions.

GCF of 27,38,804 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,628,328

LCM of Fractions 469/27,628/38,328/804 is 24151624

2 469, 628, 328
2 469, 314, 164
469, 157, 82

∴ So the LCM of the given numbers is 2 x 2 x 469 x 157 x 82 = 24151624

Least Common Multiple of 469,628,328 with GCF Formula

Least Common Multiple of 469,628,328 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 469,628,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,628,328) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(469,628,328) x common factors =1 x 4 = 4

LCM(469,628,328) = ( 469 × 628 × 328 ) / 4

LCM(469,628,328) = 96606496 / 4

LCM(469,628,328) = 24151624


Lets's calculate GCF of 27,38,804

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24151624/1

Therefore the LCM of Fractions 469/27,628/38,328/804 is 24151624

Greatest Common Factor of 27,38,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,38,804 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 27,38,804 . The biggest common factor number is the GCF number.
So the greatest common factor 27,38,804 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 469/27, 628/38, 328/804

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 469/27, 628/38, 328/804?

Answer: LCM of Numerators as per given numbers 469/27, 628/38, 328/804 is

LCM of Numerators i.e. for 469,628,328 is 24151624

GCF of denominators i.e. for 27,38,804 is 1.

Thus, LCM of Fractions is 24151624.Finally, LCM of Fractions for 469/27, 628/38, 328/804 is 24151624.