Least Common Multiple of 485/271, 238/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 485/271, 238/582 quickly i.e. 115430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/271, 238/582 is 115430.

LCM(485/271, 238/582) = 115430

LCM of 485/271, 238/582

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 485/271,238/582

Given numbers are 485/271,238/582

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 485,238

Least Common Multiple of Numerators i.e. LCM of 485,238 is 115430.

GCF of Denominators means GCF of 271,582 as per the given fractions.

GCF of 271,582 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,238

LCM of Fractions 485/271,238/582 is 115430

Given numbers has no common factors except 1. So, there LCM is their product i.e 115430

Least Common Multiple of 485,238 with GCF Formula

Least Common Multiple of 485,238 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 485,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,238) = 1

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

GCF(485,238) x common factors =1 x 1 = 1

LCM(485,238) = ( 485 × 238 ) / 1

LCM(485,238) = 115430 / 1

LCM(485,238) = 115430


Lets's calculate GCF of 271,582

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115430/1

Therefore the LCM of Fractions 485/271,238/582 is 115430

Greatest Common Factor of 271,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,582 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 271,582 . The biggest common factor number is the GCF number.
So the greatest common factor 271,582 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 485/271, 238/582

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 485/271, 238/582?

Answer: LCM of Numerators as per given numbers 485/271, 238/582 is

LCM of Numerators i.e. for 485,238 is 115430

GCF of denominators i.e. for 271,582 is 1.

Thus, LCM of Fractions is 115430.Finally, LCM of Fractions for 485/271, 238/582 is 115430.