Least Common Multiple of 270/384, 2912/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/384, 2912/109 quickly i.e. 393120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/384, 2912/109 is 393120.

LCM(270/384, 2912/109) = 393120

LCM of 270/384, 2912/109

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 270/384,2912/109

Given numbers are 270/384,2912/109

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 270,2912

Least Common Multiple of Numerators i.e. LCM of 270,2912 is 393120.

GCF of Denominators means GCF of 384,109 as per the given fractions.

GCF of 384,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,2912

LCM of Fractions 270/384,2912/109 is 393120

2 270, 2912
135, 1456

∴ So the LCM of the given numbers is 2 x 135 x 1456 = 393120

Least Common Multiple of 270,2912 with GCF Formula

Least Common Multiple of 270,2912 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 270,2912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,2912) = 2

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

GCF(270,2912) x common factors =2 x 1 = 2

LCM(270,2912) = ( 270 × 2912 ) / 2

LCM(270,2912) = 786240 / 2

LCM(270,2912) = 393120


Lets's calculate GCF of 384,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 393120/1

Therefore the LCM of Fractions 270/384,2912/109 is 393120

Greatest Common Factor of 384,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,109 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 384,109 . The biggest common factor number is the GCF number.
So the greatest common factor 384,109 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 270/384, 2912/109

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 270/384, 2912/109?

Answer: LCM of Numerators as per given numbers 270/384, 2912/109 is

LCM of Numerators i.e. for 270,2912 is 393120

GCF of denominators i.e. for 384,109 is 1.

Thus, LCM of Fractions is 393120.Finally, LCM of Fractions for 270/384, 2912/109 is 393120.