Least Common Multiple of 22/44, 53/50, 71/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/44, 53/50, 71/440 quickly i.e. 41393 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/44, 53/50, 71/440 is 41393.

LCM(22/44, 53/50, 71/440) = 41393

LCM of 22/44, 53/50, 71/440

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 22/44,53/50,71/440

Given numbers are 22/44,53/50,71/440

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 22,53,71

Least Common Multiple of Numerators i.e. LCM of 22,53,71 is 82786.

GCF of Denominators means GCF of 44,50,440 as per the given fractions.

GCF of 44,50,440 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,53,71

LCM of Fractions 22/44,53/50,71/440 is 41393

Given numbers has no common factors except 1. So, there LCM is their product i.e 82786

Least Common Multiple of 22,53,71 with GCF Formula

Least Common Multiple of 22,53,71 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 22,53,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,53,71) = 1

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

GCF(22,53,71) x common factors =1 x 1 = 1

LCM(22,53,71) = ( 22 × 53 × 71 ) / 1

LCM(22,53,71) = 82786 / 1

LCM(22,53,71) = 82786


Lets's calculate GCF of 44,50,440

2 44, 50, 440
22, 25, 220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82786/2

Therefore the LCM of Fractions 22/44,53/50,71/440 is 41393

Greatest Common Factor of 44,50,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,50,440 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

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

Greatest Common Factor

We found the factors 44,50,440 . The biggest common factor number is the GCF number.
So the greatest common factor 44,50,440 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 22/44, 53/50, 71/440

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 22/44, 53/50, 71/440?

Answer: LCM of Numerators as per given numbers 22/44, 53/50, 71/440 is

LCM of Numerators i.e. for 22,53,71 is 82786

GCF of denominators i.e. for 44,50,440 is 2.

Thus, LCM of Fractions is 41393.Finally, LCM of Fractions for 22/44, 53/50, 71/440 is 41393.