Least Common Multiple of 697/57, 199/43, 591/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 697/57, 199/43, 591/281 quickly i.e. 81973473 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 697/57, 199/43, 591/281 is 81973473.

LCM(697/57, 199/43, 591/281) = 81973473

LCM of 697/57, 199/43, 591/281

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 697/57,199/43,591/281

Given numbers are 697/57,199/43,591/281

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 697,199,591

Least Common Multiple of Numerators i.e. LCM of 697,199,591 is 81973473.

GCF of Denominators means GCF of 57,43,281 as per the given fractions.

GCF of 57,43,281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 697,199,591

LCM of Fractions 697/57,199/43,591/281 is 81973473

Given numbers has no common factors except 1. So, there LCM is their product i.e 81973473

Least Common Multiple of 697,199,591 with GCF Formula

Least Common Multiple of 697,199,591 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 697,199,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,199,591) = 1

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

GCF(697,199,591) x common factors =1 x 1 = 1

LCM(697,199,591) = ( 697 × 199 × 591 ) / 1

LCM(697,199,591) = 81973473 / 1

LCM(697,199,591) = 81973473


Lets's calculate GCF of 57,43,281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81973473/1

Therefore the LCM of Fractions 697/57,199/43,591/281 is 81973473

Greatest Common Factor of 57,43,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,43,281 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 57,43,281 . The biggest common factor number is the GCF number.
So the greatest common factor 57,43,281 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 697/57, 199/43, 591/281

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 697/57, 199/43, 591/281?

Answer: LCM of Numerators as per given numbers 697/57, 199/43, 591/281 is

LCM of Numerators i.e. for 697,199,591 is 81973473

GCF of denominators i.e. for 57,43,281 is 1.

Thus, LCM of Fractions is 81973473.Finally, LCM of Fractions for 697/57, 199/43, 591/281 is 81973473.