Least Common Multiple of 2649/120, 9445/6489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2649/120, 9445/6489 quickly i.e. 8339935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2649/120, 9445/6489 is 8339935.

LCM(2649/120, 9445/6489) = 8339935

LCM of 2649/120, 9445/6489

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 2649/120,9445/6489

Given numbers are 2649/120,9445/6489

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 2649,9445

Least Common Multiple of Numerators i.e. LCM of 2649,9445 is 25019805.

GCF of Denominators means GCF of 120,6489 as per the given fractions.

GCF of 120,6489 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2649,9445

LCM of Fractions 2649/120,9445/6489 is 8339935

Given numbers has no common factors except 1. So, there LCM is their product i.e 25019805

Least Common Multiple of 2649,9445 with GCF Formula

Least Common Multiple of 2649,9445 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 2649,9445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2649,9445) = 1

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

GCF(2649,9445) x common factors =1 x 1 = 1

LCM(2649,9445) = ( 2649 × 9445 ) / 1

LCM(2649,9445) = 25019805 / 1

LCM(2649,9445) = 25019805


Lets's calculate GCF of 120,6489

3 120, 6489
40, 2163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25019805/3

Therefore the LCM of Fractions 2649/120,9445/6489 is 8339935

Greatest Common Factor of 120,6489 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,6489 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 6489

List of positive integer factors of 6489 that divides 6489 without a remainder.

1,3,7,9,21,63,103,309,721,927,2163,6489

Greatest Common Factor

We found the factors 120,6489 . The biggest common factor number is the GCF number.
So the greatest common factor 120,6489 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 2649/120, 9445/6489

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 2649/120, 9445/6489?

Answer: LCM of Numerators as per given numbers 2649/120, 9445/6489 is

LCM of Numerators i.e. for 2649,9445 is 25019805

GCF of denominators i.e. for 120,6489 is 3.

Thus, LCM of Fractions is 8339935.Finally, LCM of Fractions for 2649/120, 9445/6489 is 8339935.