Least Common Multiple of 5744/984, 3990/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5744/984, 3990/934 quickly i.e. 5729640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5744/984, 3990/934 is 5729640.

LCM(5744/984, 3990/934) = 5729640

LCM of 5744/984, 3990/934

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 5744/984,3990/934

Given numbers are 5744/984,3990/934

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 5744,3990

Least Common Multiple of Numerators i.e. LCM of 5744,3990 is 11459280.

GCF of Denominators means GCF of 984,934 as per the given fractions.

GCF of 984,934 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5744,3990

LCM of Fractions 5744/984,3990/934 is 5729640

2 5744, 3990
2872, 1995

∴ So the LCM of the given numbers is 2 x 2872 x 1995 = 11459280

Least Common Multiple of 5744,3990 with GCF Formula

Least Common Multiple of 5744,3990 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 5744,3990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5744,3990) = 2

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

GCF(5744,3990) x common factors =2 x 1 = 2

LCM(5744,3990) = ( 5744 × 3990 ) / 2

LCM(5744,3990) = 22918560 / 2

LCM(5744,3990) = 11459280


Lets's calculate GCF of 984,934

2 984, 934
492, 467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11459280/2

Therefore the LCM of Fractions 5744/984,3990/934 is 5729640

Greatest Common Factor of 984,934 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,934 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors 984,934 . The biggest common factor number is the GCF number.
So the greatest common factor 984,934 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 5744/984, 3990/934

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 5744/984, 3990/934?

Answer: LCM of Numerators as per given numbers 5744/984, 3990/934 is

LCM of Numerators i.e. for 5744,3990 is 11459280

GCF of denominators i.e. for 984,934 is 2.

Thus, LCM of Fractions is 5729640.Finally, LCM of Fractions for 5744/984, 3990/934 is 5729640.