Least Common Multiple of 44/269, 4345/3200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/269, 4345/3200 quickly i.e. 17380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/269, 4345/3200 is 17380.

LCM(44/269, 4345/3200) = 17380

LCM of 44/269, 4345/3200

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 44/269,4345/3200

Given numbers are 44/269,4345/3200

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 44,4345

Least Common Multiple of Numerators i.e. LCM of 44,4345 is 17380.

GCF of Denominators means GCF of 269,3200 as per the given fractions.

GCF of 269,3200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,4345

LCM of Fractions 44/269,4345/3200 is 17380

11 44, 4345
4, 395

∴ So the LCM of the given numbers is 11 x 4 x 395 = 17380

Least Common Multiple of 44,4345 with GCF Formula

Least Common Multiple of 44,4345 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 44,4345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,4345) = 11

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

GCF(44,4345) x common factors =11 x 1 = 11

LCM(44,4345) = ( 44 × 4345 ) / 11

LCM(44,4345) = 191180 / 11

LCM(44,4345) = 17380


Lets's calculate GCF of 269,3200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17380/1

Therefore the LCM of Fractions 44/269,4345/3200 is 17380

Greatest Common Factor of 269,3200 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,3200 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 3200

List of positive integer factors of 3200 that divides 3200 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,320,400,640,800,1600,3200

Greatest Common Factor

We found the factors 269,3200 . The biggest common factor number is the GCF number.
So the greatest common factor 269,3200 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 44/269, 4345/3200

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 44/269, 4345/3200?

Answer: LCM of Numerators as per given numbers 44/269, 4345/3200 is

LCM of Numerators i.e. for 44,4345 is 17380

GCF of denominators i.e. for 269,3200 is 1.

Thus, LCM of Fractions is 17380.Finally, LCM of Fractions for 44/269, 4345/3200 is 17380.