Least Common Multiple of 829/96, 537/6973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 829/96, 537/6973 quickly i.e. 445173 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 829/96, 537/6973 is 445173.

LCM(829/96, 537/6973) = 445173

LCM of 829/96, 537/6973

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 829/96,537/6973

Given numbers are 829/96,537/6973

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 829,537

Least Common Multiple of Numerators i.e. LCM of 829,537 is 445173.

GCF of Denominators means GCF of 96,6973 as per the given fractions.

GCF of 96,6973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 829,537

LCM of Fractions 829/96,537/6973 is 445173

Given numbers has no common factors except 1. So, there LCM is their product i.e 445173

Least Common Multiple of 829,537 with GCF Formula

Least Common Multiple of 829,537 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 829,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,537) = 1

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

GCF(829,537) x common factors =1 x 1 = 1

LCM(829,537) = ( 829 × 537 ) / 1

LCM(829,537) = 445173 / 1

LCM(829,537) = 445173


Lets's calculate GCF of 96,6973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 445173/1

Therefore the LCM of Fractions 829/96,537/6973 is 445173

Greatest Common Factor of 96,6973 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,6973 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 6973

List of positive integer factors of 6973 that divides 6973 without a remainder.

1,19,367,6973

Greatest Common Factor

We found the factors 96,6973 . The biggest common factor number is the GCF number.
So the greatest common factor 96,6973 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 829/96, 537/6973

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 829/96, 537/6973?

Answer: LCM of Numerators as per given numbers 829/96, 537/6973 is

LCM of Numerators i.e. for 829,537 is 445173

GCF of denominators i.e. for 96,6973 is 1.

Thus, LCM of Fractions is 445173.Finally, LCM of Fractions for 829/96, 537/6973 is 445173.