Least Common Multiple of 768/996, 2703/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/996, 2703/922 quickly i.e. 345984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/996, 2703/922 is 345984.

LCM(768/996, 2703/922) = 345984

LCM of 768/996, 2703/922

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 768/996,2703/922

Given numbers are 768/996,2703/922

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 768,2703

Least Common Multiple of Numerators i.e. LCM of 768,2703 is 691968.

GCF of Denominators means GCF of 996,922 as per the given fractions.

GCF of 996,922 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,2703

LCM of Fractions 768/996,2703/922 is 345984

3 768, 2703
256, 901

∴ So the LCM of the given numbers is 3 x 256 x 901 = 691968

Least Common Multiple of 768,2703 with GCF Formula

Least Common Multiple of 768,2703 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 768,2703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,2703) = 3

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

GCF(768,2703) x common factors =3 x 1 = 3

LCM(768,2703) = ( 768 × 2703 ) / 3

LCM(768,2703) = 2075904 / 3

LCM(768,2703) = 691968


Lets's calculate GCF of 996,922

2 996, 922
498, 461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 691968/2

Therefore the LCM of Fractions 768/996,2703/922 is 345984

Greatest Common Factor of 996,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,922 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 996,922 . The biggest common factor number is the GCF number.
So the greatest common factor 996,922 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 768/996, 2703/922

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 768/996, 2703/922?

Answer: LCM of Numerators as per given numbers 768/996, 2703/922 is

LCM of Numerators i.e. for 768,2703 is 691968

GCF of denominators i.e. for 996,922 is 2.

Thus, LCM of Fractions is 345984.Finally, LCM of Fractions for 768/996, 2703/922 is 345984.