Least Common Multiple of 243/36, 352/4310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 243/36, 352/4310 quickly i.e. 42768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/36, 352/4310 is 42768.

LCM(243/36, 352/4310) = 42768

LCM of 243/36, 352/4310

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 243/36,352/4310

Given numbers are 243/36,352/4310

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 243,352

Least Common Multiple of Numerators i.e. LCM of 243,352 is 85536.

GCF of Denominators means GCF of 36,4310 as per the given fractions.

GCF of 36,4310 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,352

LCM of Fractions 243/36,352/4310 is 42768

Given numbers has no common factors except 1. So, there LCM is their product i.e 85536

Least Common Multiple of 243,352 with GCF Formula

Least Common Multiple of 243,352 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 243,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,352) = 1

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

GCF(243,352) x common factors =1 x 1 = 1

LCM(243,352) = ( 243 × 352 ) / 1

LCM(243,352) = 85536 / 1

LCM(243,352) = 85536


Lets's calculate GCF of 36,4310

2 36, 4310
18, 2155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85536/2

Therefore the LCM of Fractions 243/36,352/4310 is 42768

Greatest Common Factor of 36,4310 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,4310 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 4310

List of positive integer factors of 4310 that divides 4310 without a remainder.

1,2,5,10,431,862,2155,4310

Greatest Common Factor

We found the factors 36,4310 . The biggest common factor number is the GCF number.
So the greatest common factor 36,4310 is 2.


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 243/36, 352/4310

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 243/36, 352/4310?

Answer: LCM of Numerators as per given numbers 243/36, 352/4310 is

LCM of Numerators i.e. for 243,352 is 85536

GCF of denominators i.e. for 36,4310 is 2.

Thus, LCM of Fractions is 42768.Finally, LCM of Fractions for 243/36, 352/4310 is 42768.