Least Common Multiple of 5389/148, 6841/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5389/148, 6841/605 quickly i.e. 36866149 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5389/148, 6841/605 is 36866149.

LCM(5389/148, 6841/605) = 36866149

LCM of 5389/148, 6841/605

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 5389/148,6841/605

Given numbers are 5389/148,6841/605

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 5389,6841

Least Common Multiple of Numerators i.e. LCM of 5389,6841 is 36866149.

GCF of Denominators means GCF of 148,605 as per the given fractions.

GCF of 148,605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5389,6841

LCM of Fractions 5389/148,6841/605 is 36866149

Given numbers has no common factors except 1. So, there LCM is their product i.e 36866149

Least Common Multiple of 5389,6841 with GCF Formula

Least Common Multiple of 5389,6841 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 5389,6841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5389,6841) = 1

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

GCF(5389,6841) x common factors =1 x 1 = 1

LCM(5389,6841) = ( 5389 × 6841 ) / 1

LCM(5389,6841) = 36866149 / 1

LCM(5389,6841) = 36866149


Lets's calculate GCF of 148,605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36866149/1

Therefore the LCM of Fractions 5389/148,6841/605 is 36866149

Greatest Common Factor of 148,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,605 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 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 148,605 . The biggest common factor number is the GCF number.
So the greatest common factor 148,605 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 5389/148, 6841/605

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 5389/148, 6841/605?

Answer: LCM of Numerators as per given numbers 5389/148, 6841/605 is

LCM of Numerators i.e. for 5389,6841 is 36866149

GCF of denominators i.e. for 148,605 is 1.

Thus, LCM of Fractions is 36866149.Finally, LCM of Fractions for 5389/148, 6841/605 is 36866149.