Least Common Multiple of 984/33, 3527/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 984/33, 3527/744 quickly i.e. 1156856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/33, 3527/744 is 1156856.

LCM(984/33, 3527/744) = 1156856

LCM of 984/33, 3527/744

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 984/33,3527/744

Given numbers are 984/33,3527/744

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 984,3527

Least Common Multiple of Numerators i.e. LCM of 984,3527 is 3470568.

GCF of Denominators means GCF of 33,744 as per the given fractions.

GCF of 33,744 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,3527

LCM of Fractions 984/33,3527/744 is 1156856

Given numbers has no common factors except 1. So, there LCM is their product i.e 3470568

Least Common Multiple of 984,3527 with GCF Formula

Least Common Multiple of 984,3527 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 984,3527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,3527) = 1

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

GCF(984,3527) x common factors =1 x 1 = 1

LCM(984,3527) = ( 984 × 3527 ) / 1

LCM(984,3527) = 3470568 / 1

LCM(984,3527) = 3470568


Lets's calculate GCF of 33,744

3 33, 744
11, 248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3470568/3

Therefore the LCM of Fractions 984/33,3527/744 is 1156856

Greatest Common Factor of 33,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,744 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 33,744 . The biggest common factor number is the GCF number.
So the greatest common factor 33,744 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 984/33, 3527/744

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 984/33, 3527/744?

Answer: LCM of Numerators as per given numbers 984/33, 3527/744 is

LCM of Numerators i.e. for 984,3527 is 3470568

GCF of denominators i.e. for 33,744 is 3.

Thus, LCM of Fractions is 1156856.Finally, LCM of Fractions for 984/33, 3527/744 is 1156856.