Least Common Multiple of 382/933, 4692/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 382/933, 4692/876 quickly i.e. 298724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/933, 4692/876 is 298724.

LCM(382/933, 4692/876) = 298724

LCM of 382/933, 4692/876

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 382/933,4692/876

Given numbers are 382/933,4692/876

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 382,4692

Least Common Multiple of Numerators i.e. LCM of 382,4692 is 896172.

GCF of Denominators means GCF of 933,876 as per the given fractions.

GCF of 933,876 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,4692

LCM of Fractions 382/933,4692/876 is 298724

2 382, 4692
191, 2346

∴ So the LCM of the given numbers is 2 x 191 x 2346 = 896172

Least Common Multiple of 382,4692 with GCF Formula

Least Common Multiple of 382,4692 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 382,4692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,4692) = 2

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

GCF(382,4692) x common factors =2 x 1 = 2

LCM(382,4692) = ( 382 × 4692 ) / 2

LCM(382,4692) = 1792344 / 2

LCM(382,4692) = 896172


Lets's calculate GCF of 933,876

3 933, 876
311, 292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 896172/3

Therefore the LCM of Fractions 382/933,4692/876 is 298724

Greatest Common Factor of 933,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,876 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 933,876 . The biggest common factor number is the GCF number.
So the greatest common factor 933,876 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 382/933, 4692/876

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 382/933, 4692/876?

Answer: LCM of Numerators as per given numbers 382/933, 4692/876 is

LCM of Numerators i.e. for 382,4692 is 896172

GCF of denominators i.e. for 933,876 is 3.

Thus, LCM of Fractions is 298724.Finally, LCM of Fractions for 382/933, 4692/876 is 298724.