Least Common Multiple of 827/874, 271/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/874, 271/227 quickly i.e. 224117 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/874, 271/227 is 224117.

LCM(827/874, 271/227) = 224117

LCM of 827/874, 271/227

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 827/874,271/227

Given numbers are 827/874,271/227

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 827,271

Least Common Multiple of Numerators i.e. LCM of 827,271 is 224117.

GCF of Denominators means GCF of 874,227 as per the given fractions.

GCF of 874,227 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,271

LCM of Fractions 827/874,271/227 is 224117

Given numbers has no common factors except 1. So, there LCM is their product i.e 224117

Least Common Multiple of 827,271 with GCF Formula

Least Common Multiple of 827,271 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 827,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,271) = 1

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

GCF(827,271) x common factors =1 x 1 = 1

LCM(827,271) = ( 827 × 271 ) / 1

LCM(827,271) = 224117 / 1

LCM(827,271) = 224117


Lets's calculate GCF of 874,227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224117/1

Therefore the LCM of Fractions 827/874,271/227 is 224117

Greatest Common Factor of 874,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,227 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 874,227 . The biggest common factor number is the GCF number.
So the greatest common factor 874,227 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 827/874, 271/227

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 827/874, 271/227?

Answer: LCM of Numerators as per given numbers 827/874, 271/227 is

LCM of Numerators i.e. for 827,271 is 224117

GCF of denominators i.e. for 874,227 is 1.

Thus, LCM of Fractions is 224117.Finally, LCM of Fractions for 827/874, 271/227 is 224117.