Least Common Multiple of 178/294, 6821/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 178/294, 6821/324 quickly i.e. 1214138/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 178/294, 6821/324 is 1214138/6.

LCM(178/294, 6821/324) = 1214138/6

LCM of 178/294, 6821/324

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 178/294,6821/324

Given numbers are 178/294,6821/324

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 178,6821

Least Common Multiple of Numerators i.e. LCM of 178,6821 is 1214138.

GCF of Denominators means GCF of 294,324 as per the given fractions.

GCF of 294,324 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 178,6821

LCM of Fractions 178/294,6821/324 is 1214138/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 1214138

Least Common Multiple of 178,6821 with GCF Formula

Least Common Multiple of 178,6821 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 178,6821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,6821) = 1

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

GCF(178,6821) x common factors =1 x 1 = 1

LCM(178,6821) = ( 178 × 6821 ) / 1

LCM(178,6821) = 1214138 / 1

LCM(178,6821) = 1214138


Lets's calculate GCF of 294,324

2 294, 324
3 147, 162
49, 54

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1214138/6

Therefore the LCM of Fractions 178/294,6821/324 is 1214138/6

Greatest Common Factor of 294,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,324 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

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 294,324 . The biggest common factor number is the GCF number.
So the greatest common factor 294,324 is 6.


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 178/294, 6821/324

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 178/294, 6821/324?

Answer: LCM of Numerators as per given numbers 178/294, 6821/324 is

LCM of Numerators i.e. for 178,6821 is 1214138

GCF of denominators i.e. for 294,324 is 6.

Thus, LCM of Fractions is 1214138/6.Finally, LCM of Fractions for 178/294, 6821/324 is 1214138/6.