Least Common Multiple of 487/206, 783/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 487/206, 783/771 quickly i.e. 381321 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 487/206, 783/771 is 381321.

LCM(487/206, 783/771) = 381321

LCM of 487/206, 783/771

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 487/206,783/771

Given numbers are 487/206,783/771

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 487,783

Least Common Multiple of Numerators i.e. LCM of 487,783 is 381321.

GCF of Denominators means GCF of 206,771 as per the given fractions.

GCF of 206,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 487,783

LCM of Fractions 487/206,783/771 is 381321

Given numbers has no common factors except 1. So, there LCM is their product i.e 381321

Least Common Multiple of 487,783 with GCF Formula

Least Common Multiple of 487,783 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 487,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,783) = 1

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

GCF(487,783) x common factors =1 x 1 = 1

LCM(487,783) = ( 487 × 783 ) / 1

LCM(487,783) = 381321 / 1

LCM(487,783) = 381321


Lets's calculate GCF of 206,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381321/1

Therefore the LCM of Fractions 487/206,783/771 is 381321

Greatest Common Factor of 206,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,771 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 206,771 . The biggest common factor number is the GCF number.
So the greatest common factor 206,771 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 487/206, 783/771

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 487/206, 783/771?

Answer: LCM of Numerators as per given numbers 487/206, 783/771 is

LCM of Numerators i.e. for 487,783 is 381321

GCF of denominators i.e. for 206,771 is 1.

Thus, LCM of Fractions is 381321.Finally, LCM of Fractions for 487/206, 783/771 is 381321.