Least Common Multiple of 71/489, 843/374, 698/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/489, 843/374, 698/201 quickly i.e. 41777394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/489, 843/374, 698/201 is 41777394.

LCM(71/489, 843/374, 698/201) = 41777394

LCM of 71/489, 843/374, 698/201

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 71/489,843/374,698/201

Given numbers are 71/489,843/374,698/201

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 71,843,698

Least Common Multiple of Numerators i.e. LCM of 71,843,698 is 41777394.

GCF of Denominators means GCF of 489,374,201 as per the given fractions.

GCF of 489,374,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,843,698

LCM of Fractions 71/489,843/374,698/201 is 41777394

Given numbers has no common factors except 1. So, there LCM is their product i.e 41777394

Least Common Multiple of 71,843,698 with GCF Formula

Least Common Multiple of 71,843,698 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 71,843,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,843,698) = 1

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

GCF(71,843,698) x common factors =1 x 1 = 1

LCM(71,843,698) = ( 71 × 843 × 698 ) / 1

LCM(71,843,698) = 41777394 / 1

LCM(71,843,698) = 41777394


Lets's calculate GCF of 489,374,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41777394/1

Therefore the LCM of Fractions 71/489,843/374,698/201 is 41777394

Greatest Common Factor of 489,374,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,374,201 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 489,374,201 . The biggest common factor number is the GCF number.
So the greatest common factor 489,374,201 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 71/489, 843/374, 698/201

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 71/489, 843/374, 698/201?

Answer: LCM of Numerators as per given numbers 71/489, 843/374, 698/201 is

LCM of Numerators i.e. for 71,843,698 is 41777394

GCF of denominators i.e. for 489,374,201 is 1.

Thus, LCM of Fractions is 41777394.Finally, LCM of Fractions for 71/489, 843/374, 698/201 is 41777394.