Least Common Multiple of 263/287, 580/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 263/287, 580/471 quickly i.e. 152540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 263/287, 580/471 is 152540.

LCM(263/287, 580/471) = 152540

LCM of 263/287, 580/471

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 263/287,580/471

Given numbers are 263/287,580/471

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 263,580

Least Common Multiple of Numerators i.e. LCM of 263,580 is 152540.

GCF of Denominators means GCF of 287,471 as per the given fractions.

GCF of 287,471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 263,580

LCM of Fractions 263/287,580/471 is 152540

Given numbers has no common factors except 1. So, there LCM is their product i.e 152540

Least Common Multiple of 263,580 with GCF Formula

Least Common Multiple of 263,580 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 263,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,580) = 1

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

GCF(263,580) x common factors =1 x 1 = 1

LCM(263,580) = ( 263 × 580 ) / 1

LCM(263,580) = 152540 / 1

LCM(263,580) = 152540


Lets's calculate GCF of 287,471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152540/1

Therefore the LCM of Fractions 263/287,580/471 is 152540

Greatest Common Factor of 287,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,471 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 287,471 . The biggest common factor number is the GCF number.
So the greatest common factor 287,471 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 263/287, 580/471

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 263/287, 580/471?

Answer: LCM of Numerators as per given numbers 263/287, 580/471 is

LCM of Numerators i.e. for 263,580 is 152540

GCF of denominators i.e. for 287,471 is 1.

Thus, LCM of Fractions is 152540.Finally, LCM of Fractions for 263/287, 580/471 is 152540.