Least Common Multiple of 184/456, 375/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 184/456, 375/209 quickly i.e. 69000/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 184/456, 375/209 is 69000/19.

LCM(184/456, 375/209) = 69000/19

LCM of 184/456, 375/209

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 184/456,375/209

Given numbers are 184/456,375/209

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 184,375

Least Common Multiple of Numerators i.e. LCM of 184,375 is 69000.

GCF of Denominators means GCF of 456,209 as per the given fractions.

GCF of 456,209 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 184,375

LCM of Fractions 184/456,375/209 is 69000/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 69000

Least Common Multiple of 184,375 with GCF Formula

Least Common Multiple of 184,375 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 184,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,375) = 1

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

GCF(184,375) x common factors =1 x 1 = 1

LCM(184,375) = ( 184 × 375 ) / 1

LCM(184,375) = 69000 / 1

LCM(184,375) = 69000


Lets's calculate GCF of 456,209

19 456, 209
24, 11

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69000/19

Therefore the LCM of Fractions 184/456,375/209 is 69000/19

Greatest Common Factor of 456,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,209 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 456,209 . The biggest common factor number is the GCF number.
So the greatest common factor 456,209 is 19.


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 184/456, 375/209

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 184/456, 375/209?

Answer: LCM of Numerators as per given numbers 184/456, 375/209 is

LCM of Numerators i.e. for 184,375 is 69000

GCF of denominators i.e. for 456,209 is 19.

Thus, LCM of Fractions is 69000/19.Finally, LCM of Fractions for 184/456, 375/209 is 69000/19.