Least Common Multiple of 489/42, 716/4259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/42, 716/4259 quickly i.e. 350124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/42, 716/4259 is 350124.

LCM(489/42, 716/4259) = 350124

LCM of 489/42, 716/4259

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 489/42,716/4259

Given numbers are 489/42,716/4259

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 489,716

Least Common Multiple of Numerators i.e. LCM of 489,716 is 350124.

GCF of Denominators means GCF of 42,4259 as per the given fractions.

GCF of 42,4259 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,716

LCM of Fractions 489/42,716/4259 is 350124

Given numbers has no common factors except 1. So, there LCM is their product i.e 350124

Least Common Multiple of 489,716 with GCF Formula

Least Common Multiple of 489,716 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 489,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,716) = 1

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

GCF(489,716) x common factors =1 x 1 = 1

LCM(489,716) = ( 489 × 716 ) / 1

LCM(489,716) = 350124 / 1

LCM(489,716) = 350124


Lets's calculate GCF of 42,4259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350124/1

Therefore the LCM of Fractions 489/42,716/4259 is 350124

Greatest Common Factor of 42,4259 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,4259 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 4259

List of positive integer factors of 4259 that divides 4259 without a remainder.

1,4259

Greatest Common Factor

We found the factors 42,4259 . The biggest common factor number is the GCF number.
So the greatest common factor 42,4259 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 489/42, 716/4259

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 489/42, 716/4259?

Answer: LCM of Numerators as per given numbers 489/42, 716/4259 is

LCM of Numerators i.e. for 489,716 is 350124

GCF of denominators i.e. for 42,4259 is 1.

Thus, LCM of Fractions is 350124.Finally, LCM of Fractions for 489/42, 716/4259 is 350124.