Least Common Multiple of 346/28, 711/31, 333/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 346/28, 711/31, 333/324 quickly i.e. 9102222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 346/28, 711/31, 333/324 is 9102222.

LCM(346/28, 711/31, 333/324) = 9102222

LCM of 346/28, 711/31, 333/324

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 346/28,711/31,333/324

Given numbers are 346/28,711/31,333/324

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 346,711,333

Least Common Multiple of Numerators i.e. LCM of 346,711,333 is 9102222.

GCF of Denominators means GCF of 28,31,324 as per the given fractions.

GCF of 28,31,324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 346,711,333

LCM of Fractions 346/28,711/31,333/324 is 9102222

3 346, 711, 333
3 346, 237, 111
346, 79, 37

∴ So the LCM of the given numbers is 3 x 3 x 346 x 79 x 37 = 9102222

Least Common Multiple of 346,711,333 with GCF Formula

Least Common Multiple of 346,711,333 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 346,711,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,711,333) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(346,711,333) x common factors =1 x 9 = 9

LCM(346,711,333) = ( 346 × 711 × 333 ) / 9

LCM(346,711,333) = 81919998 / 9

LCM(346,711,333) = 9102222


Lets's calculate GCF of 28,31,324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9102222/1

Therefore the LCM of Fractions 346/28,711/31,333/324 is 9102222

Greatest Common Factor of 28,31,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,31,324 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 28,31,324 . The biggest common factor number is the GCF number.
So the greatest common factor 28,31,324 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 346/28, 711/31, 333/324

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 346/28, 711/31, 333/324?

Answer: LCM of Numerators as per given numbers 346/28, 711/31, 333/324 is

LCM of Numerators i.e. for 346,711,333 is 9102222

GCF of denominators i.e. for 28,31,324 is 1.

Thus, LCM of Fractions is 9102222.Finally, LCM of Fractions for 346/28, 711/31, 333/324 is 9102222.