Least Common Multiple of 42/294, 40/813, 606/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/294, 40/813, 606/324 quickly i.e. 28280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/294, 40/813, 606/324 is 28280.

LCM(42/294, 40/813, 606/324) = 28280

LCM of 42/294, 40/813, 606/324

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 42/294,40/813,606/324

Given numbers are 42/294,40/813,606/324

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 42,40,606

Least Common Multiple of Numerators i.e. LCM of 42,40,606 is 84840.

GCF of Denominators means GCF of 294,813,324 as per the given fractions.

GCF of 294,813,324 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,40,606

LCM of Fractions 42/294,40/813,606/324 is 28280

2 42, 40, 606
3 21, 20, 303
7, 20, 101

∴ So the LCM of the given numbers is 2 x 3 x 7 x 20 x 101 = 84840

Least Common Multiple of 42,40,606 with GCF Formula

Least Common Multiple of 42,40,606 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 42,40,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,40,606) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(42,40,606) x common factors =2 x 6 = 12

LCM(42,40,606) = ( 42 × 40 × 606 ) / 12

LCM(42,40,606) = 1018080 / 12

LCM(42,40,606) = 84840


Lets's calculate GCF of 294,813,324

3 294, 813, 324
98, 271, 108

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84840/3

Therefore the LCM of Fractions 42/294,40/813,606/324 is 28280

Greatest Common Factor of 294,813,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,813,324 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 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

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 294,813,324 . The biggest common factor number is the GCF number.
So the greatest common factor 294,813,324 is 3.


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 42/294, 40/813, 606/324

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 42/294, 40/813, 606/324?

Answer: LCM of Numerators as per given numbers 42/294, 40/813, 606/324 is

LCM of Numerators i.e. for 42,40,606 is 84840

GCF of denominators i.e. for 294,813,324 is 3.

Thus, LCM of Fractions is 28280.Finally, LCM of Fractions for 42/294, 40/813, 606/324 is 28280.