Least Common Multiple of 22/205, 32/844, 176/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/205, 32/844, 176/936 quickly i.e. 352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/205, 32/844, 176/936 is 352.

LCM(22/205, 32/844, 176/936) = 352

LCM of 22/205, 32/844, 176/936

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 22/205,32/844,176/936

Given numbers are 22/205,32/844,176/936

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 22,32,176

Least Common Multiple of Numerators i.e. LCM of 22,32,176 is 352.

GCF of Denominators means GCF of 205,844,936 as per the given fractions.

GCF of 205,844,936 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,32,176

LCM of Fractions 22/205,32/844,176/936 is 352

2 22, 32, 176
2 11, 16, 88
2 11, 8, 44
2 11, 4, 22
11 11, 2, 11
1, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 1 x 2 x 1 = 352

Least Common Multiple of 22,32,176 with GCF Formula

Least Common Multiple of 22,32,176 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 22,32,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,32,176) = 2

common factors(in case of two or more numbers have common factors) = 176

GCF(22,32,176) x common factors =2 x 176 = 352

LCM(22,32,176) = ( 22 × 32 × 176 ) / 352

LCM(22,32,176) = 123904 / 352

LCM(22,32,176) = 352


Lets's calculate GCF of 205,844,936

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 352/1

Therefore the LCM of Fractions 22/205,32/844,176/936 is 352

Greatest Common Factor of 205,844,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,844,936 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 205,844,936 . The biggest common factor number is the GCF number.
So the greatest common factor 205,844,936 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/205, 32/844, 176/936

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 22/205, 32/844, 176/936?

Answer: LCM of Numerators as per given numbers 22/205, 32/844, 176/936 is

LCM of Numerators i.e. for 22,32,176 is 352

GCF of denominators i.e. for 205,844,936 is 1.

Thus, LCM of Fractions is 352.Finally, LCM of Fractions for 22/205, 32/844, 176/936 is 352.