Least Common Multiple of 270/765, 1808/5088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/765, 1808/5088 quickly i.e. 81360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/765, 1808/5088 is 81360.

LCM(270/765, 1808/5088) = 81360

LCM of 270/765, 1808/5088

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 270/765,1808/5088

Given numbers are 270/765,1808/5088

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 270,1808

Least Common Multiple of Numerators i.e. LCM of 270,1808 is 244080.

GCF of Denominators means GCF of 765,5088 as per the given fractions.

GCF of 765,5088 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,1808

LCM of Fractions 270/765,1808/5088 is 81360

2 270, 1808
135, 904

∴ So the LCM of the given numbers is 2 x 135 x 904 = 244080

Least Common Multiple of 270,1808 with GCF Formula

Least Common Multiple of 270,1808 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 270,1808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,1808) = 2

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

GCF(270,1808) x common factors =2 x 1 = 2

LCM(270,1808) = ( 270 × 1808 ) / 2

LCM(270,1808) = 488160 / 2

LCM(270,1808) = 244080


Lets's calculate GCF of 765,5088

3 765, 5088
255, 1696

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244080/3

Therefore the LCM of Fractions 270/765,1808/5088 is 81360

Greatest Common Factor of 765,5088 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,5088 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 5088

List of positive integer factors of 5088 that divides 5088 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,53,96,106,159,212,318,424,636,848,1272,1696,2544,5088

Greatest Common Factor

We found the factors 765,5088 . The biggest common factor number is the GCF number.
So the greatest common factor 765,5088 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 270/765, 1808/5088

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 270/765, 1808/5088?

Answer: LCM of Numerators as per given numbers 270/765, 1808/5088 is

LCM of Numerators i.e. for 270,1808 is 244080

GCF of denominators i.e. for 765,5088 is 3.

Thus, LCM of Fractions is 81360.Finally, LCM of Fractions for 270/765, 1808/5088 is 81360.