Least Common Multiple of 21/320, 66/673, 335/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/320, 66/673, 335/969 quickly i.e. 154770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/320, 66/673, 335/969 is 154770.

LCM(21/320, 66/673, 335/969) = 154770

LCM of 21/320, 66/673, 335/969

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 21/320,66/673,335/969

Given numbers are 21/320,66/673,335/969

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 21,66,335

Least Common Multiple of Numerators i.e. LCM of 21,66,335 is 154770.

GCF of Denominators means GCF of 320,673,969 as per the given fractions.

GCF of 320,673,969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,66,335

LCM of Fractions 21/320,66/673,335/969 is 154770

3 21, 66, 335
7, 22, 335

∴ So the LCM of the given numbers is 3 x 7 x 22 x 335 = 154770

Least Common Multiple of 21,66,335 with GCF Formula

Least Common Multiple of 21,66,335 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 21,66,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,66,335) = 1

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

GCF(21,66,335) x common factors =1 x 3 = 3

LCM(21,66,335) = ( 21 × 66 × 335 ) / 3

LCM(21,66,335) = 464310 / 3

LCM(21,66,335) = 154770


Lets's calculate GCF of 320,673,969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154770/1

Therefore the LCM of Fractions 21/320,66/673,335/969 is 154770

Greatest Common Factor of 320,673,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,673,969 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 320,673,969 . The biggest common factor number is the GCF number.
So the greatest common factor 320,673,969 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 21/320, 66/673, 335/969

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 21/320, 66/673, 335/969?

Answer: LCM of Numerators as per given numbers 21/320, 66/673, 335/969 is

LCM of Numerators i.e. for 21,66,335 is 154770

GCF of denominators i.e. for 320,673,969 is 1.

Thus, LCM of Fractions is 154770.Finally, LCM of Fractions for 21/320, 66/673, 335/969 is 154770.