Least Common Multiple of 3185/272, 7636/5538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3185/272, 7636/5538 quickly i.e. 12160330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3185/272, 7636/5538 is 12160330.

LCM(3185/272, 7636/5538) = 12160330

LCM of 3185/272, 7636/5538

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 3185/272,7636/5538

Given numbers are 3185/272,7636/5538

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 3185,7636

Least Common Multiple of Numerators i.e. LCM of 3185,7636 is 24320660.

GCF of Denominators means GCF of 272,5538 as per the given fractions.

GCF of 272,5538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3185,7636

LCM of Fractions 3185/272,7636/5538 is 12160330

Given numbers has no common factors except 1. So, there LCM is their product i.e 24320660

Least Common Multiple of 3185,7636 with GCF Formula

Least Common Multiple of 3185,7636 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 3185,7636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3185,7636) = 1

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

GCF(3185,7636) x common factors =1 x 1 = 1

LCM(3185,7636) = ( 3185 × 7636 ) / 1

LCM(3185,7636) = 24320660 / 1

LCM(3185,7636) = 24320660


Lets's calculate GCF of 272,5538

2 272, 5538
136, 2769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24320660/2

Therefore the LCM of Fractions 3185/272,7636/5538 is 12160330

Greatest Common Factor of 272,5538 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,5538 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 5538

List of positive integer factors of 5538 that divides 5538 without a remainder.

1,2,3,6,13,26,39,71,78,142,213,426,923,1846,2769,5538

Greatest Common Factor

We found the factors 272,5538 . The biggest common factor number is the GCF number.
So the greatest common factor 272,5538 is 2.


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 3185/272, 7636/5538

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 3185/272, 7636/5538?

Answer: LCM of Numerators as per given numbers 3185/272, 7636/5538 is

LCM of Numerators i.e. for 3185,7636 is 24320660

GCF of denominators i.e. for 272,5538 is 2.

Thus, LCM of Fractions is 12160330.Finally, LCM of Fractions for 3185/272, 7636/5538 is 12160330.