Least Common Multiple of 324/241, 1077/4123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 324/241, 1077/4123 quickly i.e. 116316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 324/241, 1077/4123 is 116316.

LCM(324/241, 1077/4123) = 116316

LCM of 324/241, 1077/4123

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 324/241,1077/4123

Given numbers are 324/241,1077/4123

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 324,1077

Least Common Multiple of Numerators i.e. LCM of 324,1077 is 116316.

GCF of Denominators means GCF of 241,4123 as per the given fractions.

GCF of 241,4123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 324,1077

LCM of Fractions 324/241,1077/4123 is 116316

3 324, 1077
108, 359

∴ So the LCM of the given numbers is 3 x 108 x 359 = 116316

Least Common Multiple of 324,1077 with GCF Formula

Least Common Multiple of 324,1077 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 324,1077 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,1077) = 3

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

GCF(324,1077) x common factors =3 x 1 = 3

LCM(324,1077) = ( 324 × 1077 ) / 3

LCM(324,1077) = 348948 / 3

LCM(324,1077) = 116316


Lets's calculate GCF of 241,4123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116316/1

Therefore the LCM of Fractions 324/241,1077/4123 is 116316

Greatest Common Factor of 241,4123 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,4123 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 4123

List of positive integer factors of 4123 that divides 4123 without a remainder.

1,7,19,31,133,217,589,4123

Greatest Common Factor

We found the factors 241,4123 . The biggest common factor number is the GCF number.
So the greatest common factor 241,4123 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 324/241, 1077/4123

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 324/241, 1077/4123?

Answer: LCM of Numerators as per given numbers 324/241, 1077/4123 is

LCM of Numerators i.e. for 324,1077 is 116316

GCF of denominators i.e. for 241,4123 is 1.

Thus, LCM of Fractions is 116316.Finally, LCM of Fractions for 324/241, 1077/4123 is 116316.