Least Common Multiple of 454/489, 649/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 454/489, 649/548 quickly i.e. 294646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 454/489, 649/548 is 294646.

LCM(454/489, 649/548) = 294646

LCM of 454/489, 649/548

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 454/489,649/548

Given numbers are 454/489,649/548

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 454,649

Least Common Multiple of Numerators i.e. LCM of 454,649 is 294646.

GCF of Denominators means GCF of 489,548 as per the given fractions.

GCF of 489,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 454,649

LCM of Fractions 454/489,649/548 is 294646

Given numbers has no common factors except 1. So, there LCM is their product i.e 294646

Least Common Multiple of 454,649 with GCF Formula

Least Common Multiple of 454,649 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 454,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,649) = 1

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

GCF(454,649) x common factors =1 x 1 = 1

LCM(454,649) = ( 454 × 649 ) / 1

LCM(454,649) = 294646 / 1

LCM(454,649) = 294646


Lets's calculate GCF of 489,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294646/1

Therefore the LCM of Fractions 454/489,649/548 is 294646

Greatest Common Factor of 489,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,548 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 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 489,548 . The biggest common factor number is the GCF number.
So the greatest common factor 489,548 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 454/489, 649/548

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 454/489, 649/548?

Answer: LCM of Numerators as per given numbers 454/489, 649/548 is

LCM of Numerators i.e. for 454,649 is 294646

GCF of denominators i.e. for 489,548 is 1.

Thus, LCM of Fractions is 294646.Finally, LCM of Fractions for 454/489, 649/548 is 294646.