Least Common Multiple of 828/996, 1792/6567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/996, 1792/6567 quickly i.e. 123648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/996, 1792/6567 is 123648.

LCM(828/996, 1792/6567) = 123648

LCM of 828/996, 1792/6567

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 828/996,1792/6567

Given numbers are 828/996,1792/6567

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 828,1792

Least Common Multiple of Numerators i.e. LCM of 828,1792 is 370944.

GCF of Denominators means GCF of 996,6567 as per the given fractions.

GCF of 996,6567 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,1792

LCM of Fractions 828/996,1792/6567 is 123648

2 828, 1792
2 414, 896
207, 448

∴ So the LCM of the given numbers is 2 x 2 x 207 x 448 = 370944

Least Common Multiple of 828,1792 with GCF Formula

Least Common Multiple of 828,1792 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 828,1792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,1792) = 4

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

GCF(828,1792) x common factors =4 x 1 = 4

LCM(828,1792) = ( 828 × 1792 ) / 4

LCM(828,1792) = 1483776 / 4

LCM(828,1792) = 370944


Lets's calculate GCF of 996,6567

3 996, 6567
332, 2189

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 370944/3

Therefore the LCM of Fractions 828/996,1792/6567 is 123648

Greatest Common Factor of 996,6567 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,6567 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 6567

List of positive integer factors of 6567 that divides 6567 without a remainder.

1,3,11,33,199,597,2189,6567

Greatest Common Factor

We found the factors 996,6567 . The biggest common factor number is the GCF number.
So the greatest common factor 996,6567 is 3.


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 828/996, 1792/6567

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 828/996, 1792/6567?

Answer: LCM of Numerators as per given numbers 828/996, 1792/6567 is

LCM of Numerators i.e. for 828,1792 is 370944

GCF of denominators i.e. for 996,6567 is 3.

Thus, LCM of Fractions is 123648.Finally, LCM of Fractions for 828/996, 1792/6567 is 123648.