Least Common Multiple of 2650/123, 1440/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2650/123, 1440/297 quickly i.e. 127200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2650/123, 1440/297 is 127200.

LCM(2650/123, 1440/297) = 127200

LCM of 2650/123, 1440/297

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 2650/123,1440/297

Given numbers are 2650/123,1440/297

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 2650,1440

Least Common Multiple of Numerators i.e. LCM of 2650,1440 is 381600.

GCF of Denominators means GCF of 123,297 as per the given fractions.

GCF of 123,297 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2650,1440

LCM of Fractions 2650/123,1440/297 is 127200

2 2650, 1440
5 1325, 720
265, 144

∴ So the LCM of the given numbers is 2 x 5 x 265 x 144 = 381600

Least Common Multiple of 2650,1440 with GCF Formula

Least Common Multiple of 2650,1440 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 2650,1440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2650,1440) = 10

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

GCF(2650,1440) x common factors =10 x 1 = 10

LCM(2650,1440) = ( 2650 × 1440 ) / 10

LCM(2650,1440) = 3816000 / 10

LCM(2650,1440) = 381600


Lets's calculate GCF of 123,297

3 123, 297
41, 99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381600/3

Therefore the LCM of Fractions 2650/123,1440/297 is 127200

Greatest Common Factor of 123,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,297 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 123,297 . The biggest common factor number is the GCF number.
So the greatest common factor 123,297 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 2650/123, 1440/297

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 2650/123, 1440/297?

Answer: LCM of Numerators as per given numbers 2650/123, 1440/297 is

LCM of Numerators i.e. for 2650,1440 is 381600

GCF of denominators i.e. for 123,297 is 3.

Thus, LCM of Fractions is 127200.Finally, LCM of Fractions for 2650/123, 1440/297 is 127200.