Least Common Multiple of 299/240, 6904/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 299/240, 6904/684 quickly i.e. 2064296/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 299/240, 6904/684 is 2064296/12.

LCM(299/240, 6904/684) = 2064296/12

LCM of 299/240, 6904/684

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 299/240,6904/684

Given numbers are 299/240,6904/684

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 299,6904

Least Common Multiple of Numerators i.e. LCM of 299,6904 is 2064296.

GCF of Denominators means GCF of 240,684 as per the given fractions.

GCF of 240,684 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 299,6904

LCM of Fractions 299/240,6904/684 is 2064296/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 2064296

Least Common Multiple of 299,6904 with GCF Formula

Least Common Multiple of 299,6904 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 299,6904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,6904) = 1

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

GCF(299,6904) x common factors =1 x 1 = 1

LCM(299,6904) = ( 299 × 6904 ) / 1

LCM(299,6904) = 2064296 / 1

LCM(299,6904) = 2064296


Lets's calculate GCF of 240,684

2 240, 684
2 120, 342
3 60, 171
20, 57

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2064296/12

Therefore the LCM of Fractions 299/240,6904/684 is 2064296/12

Greatest Common Factor of 240,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,684 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 240,684 . The biggest common factor number is the GCF number.
So the greatest common factor 240,684 is 12.


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 299/240, 6904/684

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 299/240, 6904/684?

Answer: LCM of Numerators as per given numbers 299/240, 6904/684 is

LCM of Numerators i.e. for 299,6904 is 2064296

GCF of denominators i.e. for 240,684 is 12.

Thus, LCM of Fractions is 2064296/12.Finally, LCM of Fractions for 299/240, 6904/684 is 2064296/12.