Least Common Multiple of 32/136, 3497/2193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/136, 3497/2193 quickly i.e. 111904/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/136, 3497/2193 is 111904/17.

LCM(32/136, 3497/2193) = 111904/17

LCM of 32/136, 3497/2193

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 32/136,3497/2193

Given numbers are 32/136,3497/2193

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 32,3497

Least Common Multiple of Numerators i.e. LCM of 32,3497 is 111904.

GCF of Denominators means GCF of 136,2193 as per the given fractions.

GCF of 136,2193 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,3497

LCM of Fractions 32/136,3497/2193 is 111904/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 111904

Least Common Multiple of 32,3497 with GCF Formula

Least Common Multiple of 32,3497 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 32,3497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,3497) = 1

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

GCF(32,3497) x common factors =1 x 1 = 1

LCM(32,3497) = ( 32 × 3497 ) / 1

LCM(32,3497) = 111904 / 1

LCM(32,3497) = 111904


Lets's calculate GCF of 136,2193

17 136, 2193
8, 129

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111904/17

Therefore the LCM of Fractions 32/136,3497/2193 is 111904/17

Greatest Common Factor of 136,2193 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,2193 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 2193

List of positive integer factors of 2193 that divides 2193 without a remainder.

1,3,17,43,51,129,731,2193

Greatest Common Factor

We found the factors 136,2193 . The biggest common factor number is the GCF number.
So the greatest common factor 136,2193 is 17.


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Frequently Asked Questions on Fractional LCM of 32/136, 3497/2193

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 32/136, 3497/2193?

Answer: LCM of Numerators as per given numbers 32/136, 3497/2193 is

LCM of Numerators i.e. for 32,3497 is 111904

GCF of denominators i.e. for 136,2193 is 17.

Thus, LCM of Fractions is 111904/17.Finally, LCM of Fractions for 32/136, 3497/2193 is 111904/17.