Least Common Multiple of 123/22, 7228/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/22, 7228/305 quickly i.e. 889044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/22, 7228/305 is 889044.

LCM(123/22, 7228/305) = 889044

LCM of 123/22, 7228/305

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 123/22,7228/305

Given numbers are 123/22,7228/305

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 123,7228

Least Common Multiple of Numerators i.e. LCM of 123,7228 is 889044.

GCF of Denominators means GCF of 22,305 as per the given fractions.

GCF of 22,305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,7228

LCM of Fractions 123/22,7228/305 is 889044

Given numbers has no common factors except 1. So, there LCM is their product i.e 889044

Least Common Multiple of 123,7228 with GCF Formula

Least Common Multiple of 123,7228 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 123,7228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,7228) = 1

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

GCF(123,7228) x common factors =1 x 1 = 1

LCM(123,7228) = ( 123 × 7228 ) / 1

LCM(123,7228) = 889044 / 1

LCM(123,7228) = 889044


Lets's calculate GCF of 22,305

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 889044/1

Therefore the LCM of Fractions 123/22,7228/305 is 889044

Greatest Common Factor of 22,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,305 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 22,305 . The biggest common factor number is the GCF number.
So the greatest common factor 22,305 is 1.


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 123/22, 7228/305

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 123/22, 7228/305?

Answer: LCM of Numerators as per given numbers 123/22, 7228/305 is

LCM of Numerators i.e. for 123,7228 is 889044

GCF of denominators i.e. for 22,305 is 1.

Thus, LCM of Fractions is 889044.Finally, LCM of Fractions for 123/22, 7228/305 is 889044.