Least Common Multiple of 321/470, 176/963, 379/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/470, 176/963, 379/915 quickly i.e. 21411984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/470, 176/963, 379/915 is 21411984.

LCM(321/470, 176/963, 379/915) = 21411984

LCM of 321/470, 176/963, 379/915

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 321/470,176/963,379/915

Given numbers are 321/470,176/963,379/915

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 321,176,379

Least Common Multiple of Numerators i.e. LCM of 321,176,379 is 21411984.

GCF of Denominators means GCF of 470,963,915 as per the given fractions.

GCF of 470,963,915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,176,379

LCM of Fractions 321/470,176/963,379/915 is 21411984

Given numbers has no common factors except 1. So, there LCM is their product i.e 21411984

Least Common Multiple of 321,176,379 with GCF Formula

Least Common Multiple of 321,176,379 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 321,176,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,176,379) = 1

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

GCF(321,176,379) x common factors =1 x 1 = 1

LCM(321,176,379) = ( 321 × 176 × 379 ) / 1

LCM(321,176,379) = 21411984 / 1

LCM(321,176,379) = 21411984


Lets's calculate GCF of 470,963,915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21411984/1

Therefore the LCM of Fractions 321/470,176/963,379/915 is 21411984

Greatest Common Factor of 470,963,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,963,915 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 470,963,915 . The biggest common factor number is the GCF number.
So the greatest common factor 470,963,915 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 321/470, 176/963, 379/915

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 321/470, 176/963, 379/915?

Answer: LCM of Numerators as per given numbers 321/470, 176/963, 379/915 is

LCM of Numerators i.e. for 321,176,379 is 21411984

GCF of denominators i.e. for 470,963,915 is 1.

Thus, LCM of Fractions is 21411984.Finally, LCM of Fractions for 321/470, 176/963, 379/915 is 21411984.