Least Common Multiple of 7984/987, 3609/1943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7984/987, 3609/1943 quickly i.e. 28814256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7984/987, 3609/1943 is 28814256.

LCM(7984/987, 3609/1943) = 28814256

LCM of 7984/987, 3609/1943

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 7984/987,3609/1943

Given numbers are 7984/987,3609/1943

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 7984,3609

Least Common Multiple of Numerators i.e. LCM of 7984,3609 is 28814256.

GCF of Denominators means GCF of 987,1943 as per the given fractions.

GCF of 987,1943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7984,3609

LCM of Fractions 7984/987,3609/1943 is 28814256

Given numbers has no common factors except 1. So, there LCM is their product i.e 28814256

Least Common Multiple of 7984,3609 with GCF Formula

Least Common Multiple of 7984,3609 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 7984,3609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7984,3609) = 1

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

GCF(7984,3609) x common factors =1 x 1 = 1

LCM(7984,3609) = ( 7984 × 3609 ) / 1

LCM(7984,3609) = 28814256 / 1

LCM(7984,3609) = 28814256


Lets's calculate GCF of 987,1943

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28814256/1

Therefore the LCM of Fractions 7984/987,3609/1943 is 28814256

Greatest Common Factor of 987,1943 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,1943 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 1943

List of positive integer factors of 1943 that divides 1943 without a remainder.

1,29,67,1943

Greatest Common Factor

We found the factors 987,1943 . The biggest common factor number is the GCF number.
So the greatest common factor 987,1943 is 1.


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 7984/987, 3609/1943

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 7984/987, 3609/1943?

Answer: LCM of Numerators as per given numbers 7984/987, 3609/1943 is

LCM of Numerators i.e. for 7984,3609 is 28814256

GCF of denominators i.e. for 987,1943 is 1.

Thus, LCM of Fractions is 28814256.Finally, LCM of Fractions for 7984/987, 3609/1943 is 28814256.