Least Common Multiple of 844/906, 344/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 844/906, 344/160 quickly i.e. 36292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 844/906, 344/160 is 36292.

LCM(844/906, 344/160) = 36292

LCM of 844/906, 344/160

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 844/906,344/160

Given numbers are 844/906,344/160

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 844,344

Least Common Multiple of Numerators i.e. LCM of 844,344 is 72584.

GCF of Denominators means GCF of 906,160 as per the given fractions.

GCF of 906,160 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 844,344

LCM of Fractions 844/906,344/160 is 36292

2 844, 344
2 422, 172
211, 86

∴ So the LCM of the given numbers is 2 x 2 x 211 x 86 = 72584

Least Common Multiple of 844,344 with GCF Formula

Least Common Multiple of 844,344 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 844,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,344) = 4

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

GCF(844,344) x common factors =4 x 1 = 4

LCM(844,344) = ( 844 × 344 ) / 4

LCM(844,344) = 290336 / 4

LCM(844,344) = 72584


Lets's calculate GCF of 906,160

2 906, 160
453, 80

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72584/2

Therefore the LCM of Fractions 844/906,344/160 is 36292

Greatest Common Factor of 906,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,160 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 906,160 . The biggest common factor number is the GCF number.
So the greatest common factor 906,160 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 844/906, 344/160

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 844/906, 344/160?

Answer: LCM of Numerators as per given numbers 844/906, 344/160 is

LCM of Numerators i.e. for 844,344 is 72584

GCF of denominators i.e. for 906,160 is 2.

Thus, LCM of Fractions is 36292.Finally, LCM of Fractions for 844/906, 344/160 is 36292.