Least Common Multiple of 383/43, 382/1115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 383/43, 382/1115 quickly i.e. 146306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 383/43, 382/1115 is 146306.

LCM(383/43, 382/1115) = 146306

LCM of 383/43, 382/1115

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 383/43,382/1115

Given numbers are 383/43,382/1115

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 383,382

Least Common Multiple of Numerators i.e. LCM of 383,382 is 146306.

GCF of Denominators means GCF of 43,1115 as per the given fractions.

GCF of 43,1115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 383,382

LCM of Fractions 383/43,382/1115 is 146306

Given numbers has no common factors except 1. So, there LCM is their product i.e 146306

Least Common Multiple of 383,382 with GCF Formula

Least Common Multiple of 383,382 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 383,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,382) = 1

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

GCF(383,382) x common factors =1 x 1 = 1

LCM(383,382) = ( 383 × 382 ) / 1

LCM(383,382) = 146306 / 1

LCM(383,382) = 146306


Lets's calculate GCF of 43,1115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146306/1

Therefore the LCM of Fractions 383/43,382/1115 is 146306

Greatest Common Factor of 43,1115 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,1115 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 1115

List of positive integer factors of 1115 that divides 1115 without a remainder.

1,5,223,1115

Greatest Common Factor

We found the factors 43,1115 . The biggest common factor number is the GCF number.
So the greatest common factor 43,1115 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 383/43, 382/1115

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 383/43, 382/1115?

Answer: LCM of Numerators as per given numbers 383/43, 382/1115 is

LCM of Numerators i.e. for 383,382 is 146306

GCF of denominators i.e. for 43,1115 is 1.

Thus, LCM of Fractions is 146306.Finally, LCM of Fractions for 383/43, 382/1115 is 146306.