Least Common Multiple of 122/440, 184/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 122/440, 184/267 quickly i.e. 11224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 122/440, 184/267 is 11224.

LCM(122/440, 184/267) = 11224

LCM of 122/440, 184/267

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 122/440,184/267

Given numbers are 122/440,184/267

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 122,184

Least Common Multiple of Numerators i.e. LCM of 122,184 is 11224.

GCF of Denominators means GCF of 440,267 as per the given fractions.

GCF of 440,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 122,184

LCM of Fractions 122/440,184/267 is 11224

2 122, 184
61, 92

∴ So the LCM of the given numbers is 2 x 61 x 92 = 11224

Least Common Multiple of 122,184 with GCF Formula

Least Common Multiple of 122,184 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 122,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,184) = 2

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

GCF(122,184) x common factors =2 x 1 = 2

LCM(122,184) = ( 122 × 184 ) / 2

LCM(122,184) = 22448 / 2

LCM(122,184) = 11224


Lets's calculate GCF of 440,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11224/1

Therefore the LCM of Fractions 122/440,184/267 is 11224

Greatest Common Factor of 440,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,267 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 440,267 . The biggest common factor number is the GCF number.
So the greatest common factor 440,267 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 122/440, 184/267

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 122/440, 184/267?

Answer: LCM of Numerators as per given numbers 122/440, 184/267 is

LCM of Numerators i.e. for 122,184 is 11224

GCF of denominators i.e. for 440,267 is 1.

Thus, LCM of Fractions is 11224.Finally, LCM of Fractions for 122/440, 184/267 is 11224.