Least Common Multiple of 472/83, 214/6065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 472/83, 214/6065 quickly i.e. 50504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/83, 214/6065 is 50504.

LCM(472/83, 214/6065) = 50504

LCM of 472/83, 214/6065

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 472/83,214/6065

Given numbers are 472/83,214/6065

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 472,214

Least Common Multiple of Numerators i.e. LCM of 472,214 is 50504.

GCF of Denominators means GCF of 83,6065 as per the given fractions.

GCF of 83,6065 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,214

LCM of Fractions 472/83,214/6065 is 50504

2 472, 214
236, 107

∴ So the LCM of the given numbers is 2 x 236 x 107 = 50504

Least Common Multiple of 472,214 with GCF Formula

Least Common Multiple of 472,214 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 472,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,214) = 2

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

GCF(472,214) x common factors =2 x 1 = 2

LCM(472,214) = ( 472 × 214 ) / 2

LCM(472,214) = 101008 / 2

LCM(472,214) = 50504


Lets's calculate GCF of 83,6065

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50504/1

Therefore the LCM of Fractions 472/83,214/6065 is 50504

Greatest Common Factor of 83,6065 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,6065 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 6065

List of positive integer factors of 6065 that divides 6065 without a remainder.

1,5,1213,6065

Greatest Common Factor

We found the factors 83,6065 . The biggest common factor number is the GCF number.
So the greatest common factor 83,6065 is 1.


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 472/83, 214/6065

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 472/83, 214/6065?

Answer: LCM of Numerators as per given numbers 472/83, 214/6065 is

LCM of Numerators i.e. for 472,214 is 50504

GCF of denominators i.e. for 83,6065 is 1.

Thus, LCM of Fractions is 50504.Finally, LCM of Fractions for 472/83, 214/6065 is 50504.