Least Common Multiple of 704/96, 687/9772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/96, 687/9772 quickly i.e. 120912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/96, 687/9772 is 120912.

LCM(704/96, 687/9772) = 120912

LCM of 704/96, 687/9772

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 704/96,687/9772

Given numbers are 704/96,687/9772

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 704,687

Least Common Multiple of Numerators i.e. LCM of 704,687 is 483648.

GCF of Denominators means GCF of 96,9772 as per the given fractions.

GCF of 96,9772 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,687

LCM of Fractions 704/96,687/9772 is 120912

Given numbers has no common factors except 1. So, there LCM is their product i.e 483648

Least Common Multiple of 704,687 with GCF Formula

Least Common Multiple of 704,687 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 704,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,687) = 1

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

GCF(704,687) x common factors =1 x 1 = 1

LCM(704,687) = ( 704 × 687 ) / 1

LCM(704,687) = 483648 / 1

LCM(704,687) = 483648


Lets's calculate GCF of 96,9772

2 96, 9772
2 48, 4886
24, 2443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 483648/4

Therefore the LCM of Fractions 704/96,687/9772 is 120912

Greatest Common Factor of 96,9772 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,9772 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 9772

List of positive integer factors of 9772 that divides 9772 without a remainder.

1,2,4,7,14,28,349,698,1396,2443,4886,9772

Greatest Common Factor

We found the factors 96,9772 . The biggest common factor number is the GCF number.
So the greatest common factor 96,9772 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 704/96, 687/9772

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 704/96, 687/9772?

Answer: LCM of Numerators as per given numbers 704/96, 687/9772 is

LCM of Numerators i.e. for 704,687 is 483648

GCF of denominators i.e. for 96,9772 is 4.

Thus, LCM of Fractions is 120912.Finally, LCM of Fractions for 704/96, 687/9772 is 120912.