Least Common Multiple of 84/597, 871/177, 991/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/597, 871/177, 991/296 quickly i.e. 72505524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/597, 871/177, 991/296 is 72505524.

LCM(84/597, 871/177, 991/296) = 72505524

LCM of 84/597, 871/177, 991/296

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 84/597,871/177,991/296

Given numbers are 84/597,871/177,991/296

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 84,871,991

Least Common Multiple of Numerators i.e. LCM of 84,871,991 is 72505524.

GCF of Denominators means GCF of 597,177,296 as per the given fractions.

GCF of 597,177,296 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,871,991

LCM of Fractions 84/597,871/177,991/296 is 72505524

Given numbers has no common factors except 1. So, there LCM is their product i.e 72505524

Least Common Multiple of 84,871,991 with GCF Formula

Least Common Multiple of 84,871,991 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 84,871,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,871,991) = 1

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

GCF(84,871,991) x common factors =1 x 1 = 1

LCM(84,871,991) = ( 84 × 871 × 991 ) / 1

LCM(84,871,991) = 72505524 / 1

LCM(84,871,991) = 72505524


Lets's calculate GCF of 597,177,296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72505524/1

Therefore the LCM of Fractions 84/597,871/177,991/296 is 72505524

Greatest Common Factor of 597,177,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,177,296 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 597,177,296 . The biggest common factor number is the GCF number.
So the greatest common factor 597,177,296 is 1.


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 84/597, 871/177, 991/296

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 84/597, 871/177, 991/296?

Answer: LCM of Numerators as per given numbers 84/597, 871/177, 991/296 is

LCM of Numerators i.e. for 84,871,991 is 72505524

GCF of denominators i.e. for 597,177,296 is 1.

Thus, LCM of Fractions is 72505524.Finally, LCM of Fractions for 84/597, 871/177, 991/296 is 72505524.