Least Common Multiple of 5741/148, 2389/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5741/148, 2389/703 quickly i.e. 13715249/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5741/148, 2389/703 is 13715249/37.

LCM(5741/148, 2389/703) = 13715249/37

LCM of 5741/148, 2389/703

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 5741/148,2389/703

Given numbers are 5741/148,2389/703

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 5741,2389

Least Common Multiple of Numerators i.e. LCM of 5741,2389 is 13715249.

GCF of Denominators means GCF of 148,703 as per the given fractions.

GCF of 148,703 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5741,2389

LCM of Fractions 5741/148,2389/703 is 13715249/37

Given numbers has no common factors except 1. So, there LCM is their product i.e 13715249

Least Common Multiple of 5741,2389 with GCF Formula

Least Common Multiple of 5741,2389 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 5741,2389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5741,2389) = 1

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

GCF(5741,2389) x common factors =1 x 1 = 1

LCM(5741,2389) = ( 5741 × 2389 ) / 1

LCM(5741,2389) = 13715249 / 1

LCM(5741,2389) = 13715249


Lets's calculate GCF of 148,703

37 148, 703
4, 19

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13715249/37

Therefore the LCM of Fractions 5741/148,2389/703 is 13715249/37

Greatest Common Factor of 148,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,703 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 148,703 . The biggest common factor number is the GCF number.
So the greatest common factor 148,703 is 37.


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 5741/148, 2389/703

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 5741/148, 2389/703?

Answer: LCM of Numerators as per given numbers 5741/148, 2389/703 is

LCM of Numerators i.e. for 5741,2389 is 13715249

GCF of denominators i.e. for 148,703 is 37.

Thus, LCM of Fractions is 13715249/37.Finally, LCM of Fractions for 5741/148, 2389/703 is 13715249/37.