Least Common Multiple of 81/408, 21/986, 921/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/408, 21/986, 921/665 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 81/408, 21/986, 921/665 is 174069.

LCM(81/408, 21/986, 921/665) = 174069

LCM of 81/408, 21/986, 921/665

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 81/408,21/986,921/665

Given numbers are 81/408,21/986,921/665

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 81,21,921

Least Common Multiple of Numerators i.e. LCM of 81,21,921 is 174069.

GCF of Denominators means GCF of 408,986,665 as per the given fractions.

GCF of 408,986,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,21,921

LCM of Fractions 81/408,21/986,921/665 is 174069

3 81, 21, 921
27, 7, 307

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

Least Common Multiple of 81,21,921 with GCF Formula

Least Common Multiple of 81,21,921 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 81,21,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,21,921) = 3

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

GCF(81,21,921) x common factors =3 x 3 = 9

LCM(81,21,921) = ( 81 × 21 × 921 ) / 9

LCM(81,21,921) = 1566621 / 9

LCM(81,21,921) = 174069


Lets's calculate GCF of 408,986,665

∴ 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 81/408,21/986,921/665 is 174069

Greatest Common Factor of 408,986,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,986,665 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 408,986,665 . The biggest common factor number is the GCF number.
So the greatest common factor 408,986,665 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 81/408, 21/986, 921/665

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 81/408, 21/986, 921/665?

Answer: LCM of Numerators as per given numbers 81/408, 21/986, 921/665 is

LCM of Numerators i.e. for 81,21,921 is 174069

GCF of denominators i.e. for 408,986,665 is 1.

Thus, LCM of Fractions is 174069.Finally, LCM of Fractions for 81/408, 21/986, 921/665 is 174069.