Least Common Multiple of 12/188, 3643/4702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/188, 3643/4702 quickly i.e. 21858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/188, 3643/4702 is 21858.

LCM(12/188, 3643/4702) = 21858

LCM of 12/188, 3643/4702

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 12/188,3643/4702

Given numbers are 12/188,3643/4702

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 12,3643

Least Common Multiple of Numerators i.e. LCM of 12,3643 is 43716.

GCF of Denominators means GCF of 188,4702 as per the given fractions.

GCF of 188,4702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,3643

LCM of Fractions 12/188,3643/4702 is 21858

Given numbers has no common factors except 1. So, there LCM is their product i.e 43716

Least Common Multiple of 12,3643 with GCF Formula

Least Common Multiple of 12,3643 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 12,3643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,3643) = 1

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

GCF(12,3643) x common factors =1 x 1 = 1

LCM(12,3643) = ( 12 × 3643 ) / 1

LCM(12,3643) = 43716 / 1

LCM(12,3643) = 43716


Lets's calculate GCF of 188,4702

2 188, 4702
94, 2351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43716/2

Therefore the LCM of Fractions 12/188,3643/4702 is 21858

Greatest Common Factor of 188,4702 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,4702 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 4702

List of positive integer factors of 4702 that divides 4702 without a remainder.

1,2,2351,4702

Greatest Common Factor

We found the factors 188,4702 . The biggest common factor number is the GCF number.
So the greatest common factor 188,4702 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 12/188, 3643/4702

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 12/188, 3643/4702?

Answer: LCM of Numerators as per given numbers 12/188, 3643/4702 is

LCM of Numerators i.e. for 12,3643 is 43716

GCF of denominators i.e. for 188,4702 is 2.

Thus, LCM of Fractions is 21858.Finally, LCM of Fractions for 12/188, 3643/4702 is 21858.