Least Common Multiple of 83/988, 40/489, 218/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/988, 40/489, 218/243 quickly i.e. 361880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/988, 40/489, 218/243 is 361880.

LCM(83/988, 40/489, 218/243) = 361880

LCM of 83/988, 40/489, 218/243

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 83/988,40/489,218/243

Given numbers are 83/988,40/489,218/243

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 83,40,218

Least Common Multiple of Numerators i.e. LCM of 83,40,218 is 361880.

GCF of Denominators means GCF of 988,489,243 as per the given fractions.

GCF of 988,489,243 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,40,218

LCM of Fractions 83/988,40/489,218/243 is 361880

2 83, 40, 218
83, 20, 109

∴ So the LCM of the given numbers is 2 x 83 x 20 x 109 = 361880

Least Common Multiple of 83,40,218 with GCF Formula

Least Common Multiple of 83,40,218 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 83,40,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,40,218) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(83,40,218) x common factors =1 x 2 = 2

LCM(83,40,218) = ( 83 × 40 × 218 ) / 2

LCM(83,40,218) = 723760 / 2

LCM(83,40,218) = 361880


Lets's calculate GCF of 988,489,243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361880/1

Therefore the LCM of Fractions 83/988,40/489,218/243 is 361880

Greatest Common Factor of 988,489,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,489,243 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 489

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

1,3,163,489

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 988,489,243 . The biggest common factor number is the GCF number.
So the greatest common factor 988,489,243 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 83/988, 40/489, 218/243

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 83/988, 40/489, 218/243?

Answer: LCM of Numerators as per given numbers 83/988, 40/489, 218/243 is

LCM of Numerators i.e. for 83,40,218 is 361880

GCF of denominators i.e. for 988,489,243 is 1.

Thus, LCM of Fractions is 361880.Finally, LCM of Fractions for 83/988, 40/489, 218/243 is 361880.