Least Common Multiple of 827/10, 871/1729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/10, 871/1729 quickly i.e. 720317 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/10, 871/1729 is 720317.

LCM(827/10, 871/1729) = 720317

LCM of 827/10, 871/1729

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 827/10,871/1729

Given numbers are 827/10,871/1729

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 827,871

Least Common Multiple of Numerators i.e. LCM of 827,871 is 720317.

GCF of Denominators means GCF of 10,1729 as per the given fractions.

GCF of 10,1729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,871

LCM of Fractions 827/10,871/1729 is 720317

Given numbers has no common factors except 1. So, there LCM is their product i.e 720317

Least Common Multiple of 827,871 with GCF Formula

Least Common Multiple of 827,871 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 827,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,871) = 1

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

GCF(827,871) x common factors =1 x 1 = 1

LCM(827,871) = ( 827 × 871 ) / 1

LCM(827,871) = 720317 / 1

LCM(827,871) = 720317


Lets's calculate GCF of 10,1729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 720317/1

Therefore the LCM of Fractions 827/10,871/1729 is 720317

Greatest Common Factor of 10,1729 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,1729 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 1729

List of positive integer factors of 1729 that divides 1729 without a remainder.

1,7,13,19,91,133,247,1729

Greatest Common Factor

We found the factors 10,1729 . The biggest common factor number is the GCF number.
So the greatest common factor 10,1729 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 827/10, 871/1729

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 827/10, 871/1729?

Answer: LCM of Numerators as per given numbers 827/10, 871/1729 is

LCM of Numerators i.e. for 827,871 is 720317

GCF of denominators i.e. for 10,1729 is 1.

Thus, LCM of Fractions is 720317.Finally, LCM of Fractions for 827/10, 871/1729 is 720317.