Least Common Multiple of 144/80, 308/2737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/80, 308/2737 quickly i.e. 11088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/80, 308/2737 is 11088.

LCM(144/80, 308/2737) = 11088

LCM of 144/80, 308/2737

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 144/80,308/2737

Given numbers are 144/80,308/2737

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 144,308

Least Common Multiple of Numerators i.e. LCM of 144,308 is 11088.

GCF of Denominators means GCF of 80,2737 as per the given fractions.

GCF of 80,2737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,308

LCM of Fractions 144/80,308/2737 is 11088

2 144, 308
2 72, 154
36, 77

∴ So the LCM of the given numbers is 2 x 2 x 36 x 77 = 11088

Least Common Multiple of 144,308 with GCF Formula

Least Common Multiple of 144,308 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 144,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,308) = 4

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

GCF(144,308) x common factors =4 x 1 = 4

LCM(144,308) = ( 144 × 308 ) / 4

LCM(144,308) = 44352 / 4

LCM(144,308) = 11088


Lets's calculate GCF of 80,2737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11088/1

Therefore the LCM of Fractions 144/80,308/2737 is 11088

Greatest Common Factor of 80,2737 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,2737 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 2737

List of positive integer factors of 2737 that divides 2737 without a remainder.

1,7,17,23,119,161,391,2737

Greatest Common Factor

We found the factors 80,2737 . The biggest common factor number is the GCF number.
So the greatest common factor 80,2737 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 144/80, 308/2737

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 144/80, 308/2737?

Answer: LCM of Numerators as per given numbers 144/80, 308/2737 is

LCM of Numerators i.e. for 144,308 is 11088

GCF of denominators i.e. for 80,2737 is 1.

Thus, LCM of Fractions is 11088.Finally, LCM of Fractions for 144/80, 308/2737 is 11088.