Least Common Multiple of 9812/713, 6833/7199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9812/713, 6833/7199 quickly i.e. 67045396/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9812/713, 6833/7199 is 67045396/23.

LCM(9812/713, 6833/7199) = 67045396/23

LCM of 9812/713, 6833/7199

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 9812/713,6833/7199

Given numbers are 9812/713,6833/7199

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 9812,6833

Least Common Multiple of Numerators i.e. LCM of 9812,6833 is 67045396.

GCF of Denominators means GCF of 713,7199 as per the given fractions.

GCF of 713,7199 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9812,6833

LCM of Fractions 9812/713,6833/7199 is 67045396/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 67045396

Least Common Multiple of 9812,6833 with GCF Formula

Least Common Multiple of 9812,6833 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 9812,6833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9812,6833) = 1

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

GCF(9812,6833) x common factors =1 x 1 = 1

LCM(9812,6833) = ( 9812 × 6833 ) / 1

LCM(9812,6833) = 67045396 / 1

LCM(9812,6833) = 67045396


Lets's calculate GCF of 713,7199

23 713, 7199
31, 313

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67045396/23

Therefore the LCM of Fractions 9812/713,6833/7199 is 67045396/23

Greatest Common Factor of 713,7199 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,7199 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 7199

List of positive integer factors of 7199 that divides 7199 without a remainder.

1,23,313,7199

Greatest Common Factor

We found the factors 713,7199 . The biggest common factor number is the GCF number.
So the greatest common factor 713,7199 is 23.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9812/713, 6833/7199

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 9812/713, 6833/7199?

Answer: LCM of Numerators as per given numbers 9812/713, 6833/7199 is

LCM of Numerators i.e. for 9812,6833 is 67045396

GCF of denominators i.e. for 713,7199 is 23.

Thus, LCM of Fractions is 67045396/23.Finally, LCM of Fractions for 9812/713, 6833/7199 is 67045396/23.