Least Common Multiple of 829/803, 8792/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 829/803, 8792/539 quickly i.e. 7288568/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 829/803, 8792/539 is 7288568/11.

LCM(829/803, 8792/539) = 7288568/11

LCM of 829/803, 8792/539

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 829/803,8792/539

Given numbers are 829/803,8792/539

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 829,8792

Least Common Multiple of Numerators i.e. LCM of 829,8792 is 7288568.

GCF of Denominators means GCF of 803,539 as per the given fractions.

GCF of 803,539 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 829,8792

LCM of Fractions 829/803,8792/539 is 7288568/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 7288568

Least Common Multiple of 829,8792 with GCF Formula

Least Common Multiple of 829,8792 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 829,8792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,8792) = 1

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

GCF(829,8792) x common factors =1 x 1 = 1

LCM(829,8792) = ( 829 × 8792 ) / 1

LCM(829,8792) = 7288568 / 1

LCM(829,8792) = 7288568


Lets's calculate GCF of 803,539

11 803, 539
73, 49

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7288568/11

Therefore the LCM of Fractions 829/803,8792/539 is 7288568/11

Greatest Common Factor of 803,539 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,539 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Greatest Common Factor

We found the factors 803,539 . The biggest common factor number is the GCF number.
So the greatest common factor 803,539 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 829/803, 8792/539

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 829/803, 8792/539?

Answer: LCM of Numerators as per given numbers 829/803, 8792/539 is

LCM of Numerators i.e. for 829,8792 is 7288568

GCF of denominators i.e. for 803,539 is 11.

Thus, LCM of Fractions is 7288568/11.Finally, LCM of Fractions for 829/803, 8792/539 is 7288568/11.