Least Common Multiple of 9831/529, 5873/8475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9831/529, 5873/8475 quickly i.e. 57737463 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9831/529, 5873/8475 is 57737463.

LCM(9831/529, 5873/8475) = 57737463

LCM of 9831/529, 5873/8475

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 9831/529,5873/8475

Given numbers are 9831/529,5873/8475

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 9831,5873

Least Common Multiple of Numerators i.e. LCM of 9831,5873 is 57737463.

GCF of Denominators means GCF of 529,8475 as per the given fractions.

GCF of 529,8475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9831,5873

LCM of Fractions 9831/529,5873/8475 is 57737463

Given numbers has no common factors except 1. So, there LCM is their product i.e 57737463

Least Common Multiple of 9831,5873 with GCF Formula

Least Common Multiple of 9831,5873 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 9831,5873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9831,5873) = 1

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

GCF(9831,5873) x common factors =1 x 1 = 1

LCM(9831,5873) = ( 9831 × 5873 ) / 1

LCM(9831,5873) = 57737463 / 1

LCM(9831,5873) = 57737463


Lets's calculate GCF of 529,8475

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57737463/1

Therefore the LCM of Fractions 9831/529,5873/8475 is 57737463

Greatest Common Factor of 529,8475 By Matching Biggest Common Factor Method

Greatest Common Factor of 529,8475 By Matching Biggest Common Factor Method

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 8475

List of positive integer factors of 8475 that divides 8475 without a remainder.

1,3,5,15,25,75,113,339,565,1695,2825,8475

Greatest Common Factor

We found the factors 529,8475 . The biggest common factor number is the GCF number.
So the greatest common factor 529,8475 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9831/529, 5873/8475

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 9831/529, 5873/8475?

Answer: LCM of Numerators as per given numbers 9831/529, 5873/8475 is

LCM of Numerators i.e. for 9831,5873 is 57737463

GCF of denominators i.e. for 529,8475 is 1.

Thus, LCM of Fractions is 57737463.Finally, LCM of Fractions for 9831/529, 5873/8475 is 57737463.