Least Common Multiple of 188/514, 383/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 188/514, 383/464 quickly i.e. 36002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 188/514, 383/464 is 36002.

LCM(188/514, 383/464) = 36002

LCM of 188/514, 383/464

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 188/514,383/464

Given numbers are 188/514,383/464

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 188,383

Least Common Multiple of Numerators i.e. LCM of 188,383 is 72004.

GCF of Denominators means GCF of 514,464 as per the given fractions.

GCF of 514,464 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 188,383

LCM of Fractions 188/514,383/464 is 36002

Given numbers has no common factors except 1. So, there LCM is their product i.e 72004

Least Common Multiple of 188,383 with GCF Formula

Least Common Multiple of 188,383 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 188,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,383) = 1

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

GCF(188,383) x common factors =1 x 1 = 1

LCM(188,383) = ( 188 × 383 ) / 1

LCM(188,383) = 72004 / 1

LCM(188,383) = 72004


Lets's calculate GCF of 514,464

2 514, 464
257, 232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72004/2

Therefore the LCM of Fractions 188/514,383/464 is 36002

Greatest Common Factor of 514,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,464 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 514,464 . The biggest common factor number is the GCF number.
So the greatest common factor 514,464 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 188/514, 383/464

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 188/514, 383/464?

Answer: LCM of Numerators as per given numbers 188/514, 383/464 is

LCM of Numerators i.e. for 188,383 is 72004

GCF of denominators i.e. for 514,464 is 2.

Thus, LCM of Fractions is 36002.Finally, LCM of Fractions for 188/514, 383/464 is 36002.