Least Common Multiple of 237/243, 920/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 237/243, 920/849 quickly i.e. 72680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 237/243, 920/849 is 72680.

LCM(237/243, 920/849) = 72680

LCM of 237/243, 920/849

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 237/243,920/849

Given numbers are 237/243,920/849

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 237,920

Least Common Multiple of Numerators i.e. LCM of 237,920 is 218040.

GCF of Denominators means GCF of 243,849 as per the given fractions.

GCF of 243,849 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 237,920

LCM of Fractions 237/243,920/849 is 72680

Given numbers has no common factors except 1. So, there LCM is their product i.e 218040

Least Common Multiple of 237,920 with GCF Formula

Least Common Multiple of 237,920 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 237,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,920) = 1

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

GCF(237,920) x common factors =1 x 1 = 1

LCM(237,920) = ( 237 × 920 ) / 1

LCM(237,920) = 218040 / 1

LCM(237,920) = 218040


Lets's calculate GCF of 243,849

3 243, 849
81, 283

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218040/3

Therefore the LCM of Fractions 237/243,920/849 is 72680

Greatest Common Factor of 243,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,849 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 243,849 . The biggest common factor number is the GCF number.
So the greatest common factor 243,849 is 3.


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 237/243, 920/849

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 237/243, 920/849?

Answer: LCM of Numerators as per given numbers 237/243, 920/849 is

LCM of Numerators i.e. for 237,920 is 218040

GCF of denominators i.e. for 243,849 is 3.

Thus, LCM of Fractions is 72680.Finally, LCM of Fractions for 237/243, 920/849 is 72680.