Least Common Multiple of 467/90, 374/57, 327/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 467/90, 374/57, 327/960 quickly i.e. 19037722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 467/90, 374/57, 327/960 is 19037722.

LCM(467/90, 374/57, 327/960) = 19037722

LCM of 467/90, 374/57, 327/960

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 467/90,374/57,327/960

Given numbers are 467/90,374/57,327/960

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 467,374,327

Least Common Multiple of Numerators i.e. LCM of 467,374,327 is 57113166.

GCF of Denominators means GCF of 90,57,960 as per the given fractions.

GCF of 90,57,960 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 467,374,327

LCM of Fractions 467/90,374/57,327/960 is 19037722

Given numbers has no common factors except 1. So, there LCM is their product i.e 57113166

Least Common Multiple of 467,374,327 with GCF Formula

Least Common Multiple of 467,374,327 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 467,374,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,374,327) = 1

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

GCF(467,374,327) x common factors =1 x 1 = 1

LCM(467,374,327) = ( 467 × 374 × 327 ) / 1

LCM(467,374,327) = 57113166 / 1

LCM(467,374,327) = 57113166


Lets's calculate GCF of 90,57,960

3 90, 57, 960
30, 19, 320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57113166/3

Therefore the LCM of Fractions 467/90,374/57,327/960 is 19037722

Greatest Common Factor of 90,57,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,57,960 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 90,57,960 . The biggest common factor number is the GCF number.
So the greatest common factor 90,57,960 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 467/90, 374/57, 327/960

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 467/90, 374/57, 327/960?

Answer: LCM of Numerators as per given numbers 467/90, 374/57, 327/960 is

LCM of Numerators i.e. for 467,374,327 is 57113166

GCF of denominators i.e. for 90,57,960 is 3.

Thus, LCM of Fractions is 19037722.Finally, LCM of Fractions for 467/90, 374/57, 327/960 is 19037722.