Least Common Multiple of 3487/644, 2721/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3487/644, 2721/984 quickly i.e. 9488127/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3487/644, 2721/984 is 9488127/4.

LCM(3487/644, 2721/984) = 9488127/4

LCM of 3487/644, 2721/984

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 3487/644,2721/984

Given numbers are 3487/644,2721/984

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 3487,2721

Least Common Multiple of Numerators i.e. LCM of 3487,2721 is 9488127.

GCF of Denominators means GCF of 644,984 as per the given fractions.

GCF of 644,984 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3487,2721

LCM of Fractions 3487/644,2721/984 is 9488127/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 9488127

Least Common Multiple of 3487,2721 with GCF Formula

Least Common Multiple of 3487,2721 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 3487,2721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3487,2721) = 1

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

GCF(3487,2721) x common factors =1 x 1 = 1

LCM(3487,2721) = ( 3487 × 2721 ) / 1

LCM(3487,2721) = 9488127 / 1

LCM(3487,2721) = 9488127


Lets's calculate GCF of 644,984

2 644, 984
2 322, 492
161, 246

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9488127/4

Therefore the LCM of Fractions 3487/644,2721/984 is 9488127/4

Greatest Common Factor of 644,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,984 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

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

Greatest Common Factor

We found the factors 644,984 . The biggest common factor number is the GCF number.
So the greatest common factor 644,984 is 4.


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 3487/644, 2721/984

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 3487/644, 2721/984?

Answer: LCM of Numerators as per given numbers 3487/644, 2721/984 is

LCM of Numerators i.e. for 3487,2721 is 9488127

GCF of denominators i.e. for 644,984 is 4.

Thus, LCM of Fractions is 9488127/4.Finally, LCM of Fractions for 3487/644, 2721/984 is 9488127/4.