Least Common Multiple of 1840/384, 2378/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1840/384, 2378/760 quickly i.e. 273470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1840/384, 2378/760 is 273470.

LCM(1840/384, 2378/760) = 273470

LCM of 1840/384, 2378/760

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 1840/384,2378/760

Given numbers are 1840/384,2378/760

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 1840,2378

Least Common Multiple of Numerators i.e. LCM of 1840,2378 is 2187760.

GCF of Denominators means GCF of 384,760 as per the given fractions.

GCF of 384,760 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1840,2378

LCM of Fractions 1840/384,2378/760 is 273470

2 1840, 2378
920, 1189

∴ So the LCM of the given numbers is 2 x 920 x 1189 = 2187760

Least Common Multiple of 1840,2378 with GCF Formula

Least Common Multiple of 1840,2378 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 1840,2378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1840,2378) = 2

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

GCF(1840,2378) x common factors =2 x 1 = 2

LCM(1840,2378) = ( 1840 × 2378 ) / 2

LCM(1840,2378) = 4375520 / 2

LCM(1840,2378) = 2187760


Lets's calculate GCF of 384,760

2 384, 760
2 192, 380
2 96, 190
48, 95

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2187760/8

Therefore the LCM of Fractions 1840/384,2378/760 is 273470

Greatest Common Factor of 384,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,760 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 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 384,760 . The biggest common factor number is the GCF number.
So the greatest common factor 384,760 is 8.


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 1840/384, 2378/760

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 1840/384, 2378/760?

Answer: LCM of Numerators as per given numbers 1840/384, 2378/760 is

LCM of Numerators i.e. for 1840,2378 is 2187760

GCF of denominators i.e. for 384,760 is 8.

Thus, LCM of Fractions is 273470.Finally, LCM of Fractions for 1840/384, 2378/760 is 273470.