Least Common Multiple of 469/36, 249/7449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/36, 249/7449 quickly i.e. 38927 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/36, 249/7449 is 38927.

LCM(469/36, 249/7449) = 38927

LCM of 469/36, 249/7449

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 469/36,249/7449

Given numbers are 469/36,249/7449

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 469,249

Least Common Multiple of Numerators i.e. LCM of 469,249 is 116781.

GCF of Denominators means GCF of 36,7449 as per the given fractions.

GCF of 36,7449 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,249

LCM of Fractions 469/36,249/7449 is 38927

Given numbers has no common factors except 1. So, there LCM is their product i.e 116781

Least Common Multiple of 469,249 with GCF Formula

Least Common Multiple of 469,249 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 469,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,249) = 1

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

GCF(469,249) x common factors =1 x 1 = 1

LCM(469,249) = ( 469 × 249 ) / 1

LCM(469,249) = 116781 / 1

LCM(469,249) = 116781


Lets's calculate GCF of 36,7449

3 36, 7449
12, 2483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116781/3

Therefore the LCM of Fractions 469/36,249/7449 is 38927

Greatest Common Factor of 36,7449 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,7449 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 7449

List of positive integer factors of 7449 that divides 7449 without a remainder.

1,3,13,39,191,573,2483,7449

Greatest Common Factor

We found the factors 36,7449 . The biggest common factor number is the GCF number.
So the greatest common factor 36,7449 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 469/36, 249/7449

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 469/36, 249/7449?

Answer: LCM of Numerators as per given numbers 469/36, 249/7449 is

LCM of Numerators i.e. for 469,249 is 116781

GCF of denominators i.e. for 36,7449 is 3.

Thus, LCM of Fractions is 38927.Finally, LCM of Fractions for 469/36, 249/7449 is 38927.