Least Common Multiple of 871/17, 469/1319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 871/17, 469/1319 quickly i.e. 6097 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/17, 469/1319 is 6097.

LCM(871/17, 469/1319) = 6097

LCM of 871/17, 469/1319

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 871/17,469/1319

Given numbers are 871/17,469/1319

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 871,469

Least Common Multiple of Numerators i.e. LCM of 871,469 is 6097.

GCF of Denominators means GCF of 17,1319 as per the given fractions.

GCF of 17,1319 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,469

LCM of Fractions 871/17,469/1319 is 6097

67 871, 469
13, 7

∴ So the LCM of the given numbers is 67 x 13 x 7 = 6097

Least Common Multiple of 871,469 with GCF Formula

Least Common Multiple of 871,469 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 871,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,469) = 67

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

GCF(871,469) x common factors =67 x 1 = 67

LCM(871,469) = ( 871 × 469 ) / 67

LCM(871,469) = 408499 / 67

LCM(871,469) = 6097


Lets's calculate GCF of 17,1319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6097/1

Therefore the LCM of Fractions 871/17,469/1319 is 6097

Greatest Common Factor of 17,1319 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,1319 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 1319

List of positive integer factors of 1319 that divides 1319 without a remainder.

1,1319

Greatest Common Factor

We found the factors 17,1319 . The biggest common factor number is the GCF number.
So the greatest common factor 17,1319 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 871/17, 469/1319

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 871/17, 469/1319?

Answer: LCM of Numerators as per given numbers 871/17, 469/1319 is

LCM of Numerators i.e. for 871,469 is 6097

GCF of denominators i.e. for 17,1319 is 1.

Thus, LCM of Fractions is 6097.Finally, LCM of Fractions for 871/17, 469/1319 is 6097.