Least Common Multiple of 653/189, 5024/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 653/189, 5024/489 quickly i.e. 3280672/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 653/189, 5024/489 is 3280672/3.

LCM(653/189, 5024/489) = 3280672/3

LCM of 653/189, 5024/489

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 653/189,5024/489

Given numbers are 653/189,5024/489

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 653,5024

Least Common Multiple of Numerators i.e. LCM of 653,5024 is 3280672.

GCF of Denominators means GCF of 189,489 as per the given fractions.

GCF of 189,489 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 653,5024

LCM of Fractions 653/189,5024/489 is 3280672/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 3280672

Least Common Multiple of 653,5024 with GCF Formula

Least Common Multiple of 653,5024 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 653,5024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,5024) = 1

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

GCF(653,5024) x common factors =1 x 1 = 1

LCM(653,5024) = ( 653 × 5024 ) / 1

LCM(653,5024) = 3280672 / 1

LCM(653,5024) = 3280672


Lets's calculate GCF of 189,489

3 189, 489
63, 163

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3280672/3

Therefore the LCM of Fractions 653/189,5024/489 is 3280672/3

Greatest Common Factor of 189,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,489 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

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 189,489 . The biggest common factor number is the GCF number.
So the greatest common factor 189,489 is 3.


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 653/189, 5024/489

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 653/189, 5024/489?

Answer: LCM of Numerators as per given numbers 653/189, 5024/489 is

LCM of Numerators i.e. for 653,5024 is 3280672

GCF of denominators i.e. for 189,489 is 3.

Thus, LCM of Fractions is 3280672/3.Finally, LCM of Fractions for 653/189, 5024/489 is 3280672/3.