Least Common Multiple of 81/209, 21/662, 307/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/209, 21/662, 307/546 quickly i.e. 174069 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/209, 21/662, 307/546 is 174069.

LCM(81/209, 21/662, 307/546) = 174069

LCM of 81/209, 21/662, 307/546

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 81/209,21/662,307/546

Given numbers are 81/209,21/662,307/546

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 81,21,307

Least Common Multiple of Numerators i.e. LCM of 81,21,307 is 174069.

GCF of Denominators means GCF of 209,662,546 as per the given fractions.

GCF of 209,662,546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,21,307

LCM of Fractions 81/209,21/662,307/546 is 174069

3 81, 21, 307
27, 7, 307

∴ So the LCM of the given numbers is 3 x 27 x 7 x 307 = 174069

Least Common Multiple of 81,21,307 with GCF Formula

Least Common Multiple of 81,21,307 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 81,21,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,21,307) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,21,307) x common factors =1 x 3 = 3

LCM(81,21,307) = ( 81 × 21 × 307 ) / 3

LCM(81,21,307) = 522207 / 3

LCM(81,21,307) = 174069


Lets's calculate GCF of 209,662,546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174069/1

Therefore the LCM of Fractions 81/209,21/662,307/546 is 174069

Greatest Common Factor of 209,662,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,662,546 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 209,662,546 . The biggest common factor number is the GCF number.
So the greatest common factor 209,662,546 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 81/209, 21/662, 307/546

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 81/209, 21/662, 307/546?

Answer: LCM of Numerators as per given numbers 81/209, 21/662, 307/546 is

LCM of Numerators i.e. for 81,21,307 is 174069

GCF of denominators i.e. for 209,662,546 is 1.

Thus, LCM of Fractions is 174069.Finally, LCM of Fractions for 81/209, 21/662, 307/546 is 174069.