Least Common Multiple of 236/76, 165/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 236/76, 165/344 quickly i.e. 9735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 236/76, 165/344 is 9735.

LCM(236/76, 165/344) = 9735

LCM of 236/76, 165/344

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 236/76,165/344

Given numbers are 236/76,165/344

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 236,165

Least Common Multiple of Numerators i.e. LCM of 236,165 is 38940.

GCF of Denominators means GCF of 76,344 as per the given fractions.

GCF of 76,344 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 236,165

LCM of Fractions 236/76,165/344 is 9735

Given numbers has no common factors except 1. So, there LCM is their product i.e 38940

Least Common Multiple of 236,165 with GCF Formula

Least Common Multiple of 236,165 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 236,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,165) = 1

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

GCF(236,165) x common factors =1 x 1 = 1

LCM(236,165) = ( 236 × 165 ) / 1

LCM(236,165) = 38940 / 1

LCM(236,165) = 38940


Lets's calculate GCF of 76,344

2 76, 344
2 38, 172
19, 86

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38940/4

Therefore the LCM of Fractions 236/76,165/344 is 9735

Greatest Common Factor of 76,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,344 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 76,344 . The biggest common factor number is the GCF number.
So the greatest common factor 76,344 is 4.


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 236/76, 165/344

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 236/76, 165/344?

Answer: LCM of Numerators as per given numbers 236/76, 165/344 is

LCM of Numerators i.e. for 236,165 is 38940

GCF of denominators i.e. for 76,344 is 4.

Thus, LCM of Fractions is 9735.Finally, LCM of Fractions for 236/76, 165/344 is 9735.