Least Common Multiple of 5353/489, 5726/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5353/489, 5726/489 quickly i.e. 30651278/489 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5353/489, 5726/489 is 30651278/489.

LCM(5353/489, 5726/489) = 30651278/489

LCM of 5353/489, 5726/489

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 5353/489,5726/489

Given numbers are 5353/489,5726/489

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 5353,5726

Least Common Multiple of Numerators i.e. LCM of 5353,5726 is 30651278.

GCF of Denominators means GCF of 489,489 as per the given fractions.

GCF of 489,489 is 489 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5353,5726

LCM of Fractions 5353/489,5726/489 is 30651278/489

Given numbers has no common factors except 1. So, there LCM is their product i.e 30651278

Least Common Multiple of 5353,5726 with GCF Formula

Least Common Multiple of 5353,5726 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 5353,5726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5353,5726) = 1

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

GCF(5353,5726) x common factors =1 x 1 = 1

LCM(5353,5726) = ( 5353 × 5726 ) / 1

LCM(5353,5726) = 30651278 / 1

LCM(5353,5726) = 30651278


Lets's calculate GCF of 489,489

3 489, 489
163 163, 163
1, 1

∴ So the GCF of the given numbers is 3 x 163 = 489

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30651278/489

Therefore the LCM of Fractions 5353/489,5726/489 is 30651278/489

Greatest Common Factor of 489,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,489 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

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


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 5353/489, 5726/489

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 5353/489, 5726/489?

Answer: LCM of Numerators as per given numbers 5353/489, 5726/489 is

LCM of Numerators i.e. for 5353,5726 is 30651278

GCF of denominators i.e. for 489,489 is 489.

Thus, LCM of Fractions is 30651278/489.Finally, LCM of Fractions for 5353/489, 5726/489 is 30651278/489.