Least Common Multiple of 96/312, 47/815, 369/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/312, 47/815, 369/483 quickly i.e. 554976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/312, 47/815, 369/483 is 554976.

LCM(96/312, 47/815, 369/483) = 554976

LCM of 96/312, 47/815, 369/483

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 96/312,47/815,369/483

Given numbers are 96/312,47/815,369/483

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 96,47,369

Least Common Multiple of Numerators i.e. LCM of 96,47,369 is 554976.

GCF of Denominators means GCF of 312,815,483 as per the given fractions.

GCF of 312,815,483 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,47,369

LCM of Fractions 96/312,47/815,369/483 is 554976

3 96, 47, 369
32, 47, 123

∴ So the LCM of the given numbers is 3 x 32 x 47 x 123 = 554976

Least Common Multiple of 96,47,369 with GCF Formula

Least Common Multiple of 96,47,369 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 96,47,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,47,369) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(96,47,369) x common factors =1 x 3 = 3

LCM(96,47,369) = ( 96 × 47 × 369 ) / 3

LCM(96,47,369) = 1664928 / 3

LCM(96,47,369) = 554976


Lets's calculate GCF of 312,815,483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 554976/1

Therefore the LCM of Fractions 96/312,47/815,369/483 is 554976

Greatest Common Factor of 312,815,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,815,483 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 312,815,483 . The biggest common factor number is the GCF number.
So the greatest common factor 312,815,483 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 96/312, 47/815, 369/483

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 96/312, 47/815, 369/483?

Answer: LCM of Numerators as per given numbers 96/312, 47/815, 369/483 is

LCM of Numerators i.e. for 96,47,369 is 554976

GCF of denominators i.e. for 312,815,483 is 1.

Thus, LCM of Fractions is 554976.Finally, LCM of Fractions for 96/312, 47/815, 369/483 is 554976.