Least Common Multiple of 3648/489, 7188/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3648/489, 7188/724 quickly i.e. 2185152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3648/489, 7188/724 is 2185152.

LCM(3648/489, 7188/724) = 2185152

LCM of 3648/489, 7188/724

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 3648/489,7188/724

Given numbers are 3648/489,7188/724

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 3648,7188

Least Common Multiple of Numerators i.e. LCM of 3648,7188 is 2185152.

GCF of Denominators means GCF of 489,724 as per the given fractions.

GCF of 489,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3648,7188

LCM of Fractions 3648/489,7188/724 is 2185152

2 3648, 7188
2 1824, 3594
3 912, 1797
304, 599

∴ So the LCM of the given numbers is 2 x 2 x 3 x 304 x 599 = 2185152

Least Common Multiple of 3648,7188 with GCF Formula

Least Common Multiple of 3648,7188 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 3648,7188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3648,7188) = 12

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

GCF(3648,7188) x common factors =12 x 1 = 12

LCM(3648,7188) = ( 3648 × 7188 ) / 12

LCM(3648,7188) = 26221824 / 12

LCM(3648,7188) = 2185152


Lets's calculate GCF of 489,724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2185152/1

Therefore the LCM of Fractions 3648/489,7188/724 is 2185152

Greatest Common Factor of 489,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,724 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 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 489,724 . The biggest common factor number is the GCF number.
So the greatest common factor 489,724 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 3648/489, 7188/724

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 3648/489, 7188/724?

Answer: LCM of Numerators as per given numbers 3648/489, 7188/724 is

LCM of Numerators i.e. for 3648,7188 is 2185152

GCF of denominators i.e. for 489,724 is 1.

Thus, LCM of Fractions is 2185152.Finally, LCM of Fractions for 3648/489, 7188/724 is 2185152.