Least Common Multiple of 466/39, 514/2010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 466/39, 514/2010 quickly i.e. 119762/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/39, 514/2010 is 119762/3.

LCM(466/39, 514/2010) = 119762/3

LCM of 466/39, 514/2010

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 466/39,514/2010

Given numbers are 466/39,514/2010

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 466,514

Least Common Multiple of Numerators i.e. LCM of 466,514 is 119762.

GCF of Denominators means GCF of 39,2010 as per the given fractions.

GCF of 39,2010 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,514

LCM of Fractions 466/39,514/2010 is 119762/3

2 466, 514
233, 257

∴ So the LCM of the given numbers is 2 x 233 x 257 = 119762

Least Common Multiple of 466,514 with GCF Formula

Least Common Multiple of 466,514 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 466,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,514) = 2

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

GCF(466,514) x common factors =2 x 1 = 2

LCM(466,514) = ( 466 × 514 ) / 2

LCM(466,514) = 239524 / 2

LCM(466,514) = 119762


Lets's calculate GCF of 39,2010

3 39, 2010
13, 670

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119762/3

Therefore the LCM of Fractions 466/39,514/2010 is 119762/3

Greatest Common Factor of 39,2010 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,2010 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 2010

List of positive integer factors of 2010 that divides 2010 without a remainder.

1,2,3,5,6,10,15,30,67,134,201,335,402,670,1005,2010

Greatest Common Factor

We found the factors 39,2010 . The biggest common factor number is the GCF number.
So the greatest common factor 39,2010 is 3.


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 466/39, 514/2010

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 466/39, 514/2010?

Answer: LCM of Numerators as per given numbers 466/39, 514/2010 is

LCM of Numerators i.e. for 466,514 is 119762

GCF of denominators i.e. for 39,2010 is 3.

Thus, LCM of Fractions is 119762/3.Finally, LCM of Fractions for 466/39, 514/2010 is 119762/3.