Least Common Multiple of 269/824, 3048/6740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 269/824, 3048/6740 quickly i.e. 204978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 269/824, 3048/6740 is 204978.

LCM(269/824, 3048/6740) = 204978

LCM of 269/824, 3048/6740

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 269/824,3048/6740

Given numbers are 269/824,3048/6740

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 269,3048

Least Common Multiple of Numerators i.e. LCM of 269,3048 is 819912.

GCF of Denominators means GCF of 824,6740 as per the given fractions.

GCF of 824,6740 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 269,3048

LCM of Fractions 269/824,3048/6740 is 204978

Given numbers has no common factors except 1. So, there LCM is their product i.e 819912

Least Common Multiple of 269,3048 with GCF Formula

Least Common Multiple of 269,3048 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 269,3048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,3048) = 1

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

GCF(269,3048) x common factors =1 x 1 = 1

LCM(269,3048) = ( 269 × 3048 ) / 1

LCM(269,3048) = 819912 / 1

LCM(269,3048) = 819912


Lets's calculate GCF of 824,6740

2 824, 6740
2 412, 3370
206, 1685

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 819912/4

Therefore the LCM of Fractions 269/824,3048/6740 is 204978

Greatest Common Factor of 824,6740 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,6740 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 6740

List of positive integer factors of 6740 that divides 6740 without a remainder.

1,2,4,5,10,20,337,674,1348,1685,3370,6740

Greatest Common Factor

We found the factors 824,6740 . The biggest common factor number is the GCF number.
So the greatest common factor 824,6740 is 4.


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 269/824, 3048/6740

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 269/824, 3048/6740?

Answer: LCM of Numerators as per given numbers 269/824, 3048/6740 is

LCM of Numerators i.e. for 269,3048 is 819912

GCF of denominators i.e. for 824,6740 is 4.

Thus, LCM of Fractions is 204978.Finally, LCM of Fractions for 269/824, 3048/6740 is 204978.