Least Common Multiple of 321/133, 924/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/133, 924/343 quickly i.e. 14124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/133, 924/343 is 14124.

LCM(321/133, 924/343) = 14124

LCM of 321/133, 924/343

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 321/133,924/343

Given numbers are 321/133,924/343

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 321,924

Least Common Multiple of Numerators i.e. LCM of 321,924 is 98868.

GCF of Denominators means GCF of 133,343 as per the given fractions.

GCF of 133,343 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,924

LCM of Fractions 321/133,924/343 is 14124

3 321, 924
107, 308

∴ So the LCM of the given numbers is 3 x 107 x 308 = 98868

Least Common Multiple of 321,924 with GCF Formula

Least Common Multiple of 321,924 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 321,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,924) = 3

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

GCF(321,924) x common factors =3 x 1 = 3

LCM(321,924) = ( 321 × 924 ) / 3

LCM(321,924) = 296604 / 3

LCM(321,924) = 98868


Lets's calculate GCF of 133,343

7 133, 343
19, 49

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98868/7

Therefore the LCM of Fractions 321/133,924/343 is 14124

Greatest Common Factor of 133,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,343 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 133,343 . The biggest common factor number is the GCF number.
So the greatest common factor 133,343 is 7.


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 321/133, 924/343

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 321/133, 924/343?

Answer: LCM of Numerators as per given numbers 321/133, 924/343 is

LCM of Numerators i.e. for 321,924 is 98868

GCF of denominators i.e. for 133,343 is 7.

Thus, LCM of Fractions is 14124.Finally, LCM of Fractions for 321/133, 924/343 is 14124.