Least Common Multiple of 123/184, 346/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/184, 346/422 quickly i.e. 21279 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/184, 346/422 is 21279.

LCM(123/184, 346/422) = 21279

LCM of 123/184, 346/422

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 123/184,346/422

Given numbers are 123/184,346/422

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 123,346

Least Common Multiple of Numerators i.e. LCM of 123,346 is 42558.

GCF of Denominators means GCF of 184,422 as per the given fractions.

GCF of 184,422 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,346

LCM of Fractions 123/184,346/422 is 21279

Given numbers has no common factors except 1. So, there LCM is their product i.e 42558

Least Common Multiple of 123,346 with GCF Formula

Least Common Multiple of 123,346 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 123,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,346) = 1

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

GCF(123,346) x common factors =1 x 1 = 1

LCM(123,346) = ( 123 × 346 ) / 1

LCM(123,346) = 42558 / 1

LCM(123,346) = 42558


Lets's calculate GCF of 184,422

2 184, 422
92, 211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42558/2

Therefore the LCM of Fractions 123/184,346/422 is 21279

Greatest Common Factor of 184,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,422 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 184,422 . The biggest common factor number is the GCF number.
So the greatest common factor 184,422 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 123/184, 346/422

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 123/184, 346/422?

Answer: LCM of Numerators as per given numbers 123/184, 346/422 is

LCM of Numerators i.e. for 123,346 is 42558

GCF of denominators i.e. for 184,422 is 2.

Thus, LCM of Fractions is 21279.Finally, LCM of Fractions for 123/184, 346/422 is 21279.