Least Common Multiple of 489/746, 4596/7713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/746, 4596/7713 quickly i.e. 749148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/746, 4596/7713 is 749148.

LCM(489/746, 4596/7713) = 749148

LCM of 489/746, 4596/7713

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 489/746,4596/7713

Given numbers are 489/746,4596/7713

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 489,4596

Least Common Multiple of Numerators i.e. LCM of 489,4596 is 749148.

GCF of Denominators means GCF of 746,7713 as per the given fractions.

GCF of 746,7713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,4596

LCM of Fractions 489/746,4596/7713 is 749148

3 489, 4596
163, 1532

∴ So the LCM of the given numbers is 3 x 163 x 1532 = 749148

Least Common Multiple of 489,4596 with GCF Formula

Least Common Multiple of 489,4596 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 489,4596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,4596) = 3

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

GCF(489,4596) x common factors =3 x 1 = 3

LCM(489,4596) = ( 489 × 4596 ) / 3

LCM(489,4596) = 2247444 / 3

LCM(489,4596) = 749148


Lets's calculate GCF of 746,7713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 749148/1

Therefore the LCM of Fractions 489/746,4596/7713 is 749148

Greatest Common Factor of 746,7713 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,7713 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 7713

List of positive integer factors of 7713 that divides 7713 without a remainder.

1,3,9,857,2571,7713

Greatest Common Factor

We found the factors 746,7713 . The biggest common factor number is the GCF number.
So the greatest common factor 746,7713 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 489/746, 4596/7713

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 489/746, 4596/7713?

Answer: LCM of Numerators as per given numbers 489/746, 4596/7713 is

LCM of Numerators i.e. for 489,4596 is 749148

GCF of denominators i.e. for 746,7713 is 1.

Thus, LCM of Fractions is 749148.Finally, LCM of Fractions for 489/746, 4596/7713 is 749148.