Least Common Multiple of 781/384, 576/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 781/384, 576/245 quickly i.e. 449856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 781/384, 576/245 is 449856.

LCM(781/384, 576/245) = 449856

LCM of 781/384, 576/245

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 781/384,576/245

Given numbers are 781/384,576/245

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 781,576

Least Common Multiple of Numerators i.e. LCM of 781,576 is 449856.

GCF of Denominators means GCF of 384,245 as per the given fractions.

GCF of 384,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 781,576

LCM of Fractions 781/384,576/245 is 449856

Given numbers has no common factors except 1. So, there LCM is their product i.e 449856

Least Common Multiple of 781,576 with GCF Formula

Least Common Multiple of 781,576 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 781,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(781,576) = 1

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

GCF(781,576) x common factors =1 x 1 = 1

LCM(781,576) = ( 781 × 576 ) / 1

LCM(781,576) = 449856 / 1

LCM(781,576) = 449856


Lets's calculate GCF of 384,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 449856/1

Therefore the LCM of Fractions 781/384,576/245 is 449856

Greatest Common Factor of 384,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,245 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 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 384,245 . The biggest common factor number is the GCF number.
So the greatest common factor 384,245 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 781/384, 576/245

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 781/384, 576/245?

Answer: LCM of Numerators as per given numbers 781/384, 576/245 is

LCM of Numerators i.e. for 781,576 is 449856

GCF of denominators i.e. for 384,245 is 1.

Thus, LCM of Fractions is 449856.Finally, LCM of Fractions for 781/384, 576/245 is 449856.