Least Common Multiple of 1997/87, 1593/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1997/87, 1593/293 quickly i.e. 3181221 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1997/87, 1593/293 is 3181221.

LCM(1997/87, 1593/293) = 3181221

LCM of 1997/87, 1593/293

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 1997/87,1593/293

Given numbers are 1997/87,1593/293

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 1997,1593

Least Common Multiple of Numerators i.e. LCM of 1997,1593 is 3181221.

GCF of Denominators means GCF of 87,293 as per the given fractions.

GCF of 87,293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1997,1593

LCM of Fractions 1997/87,1593/293 is 3181221

Given numbers has no common factors except 1. So, there LCM is their product i.e 3181221

Least Common Multiple of 1997,1593 with GCF Formula

Least Common Multiple of 1997,1593 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 1997,1593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1997,1593) = 1

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

GCF(1997,1593) x common factors =1 x 1 = 1

LCM(1997,1593) = ( 1997 × 1593 ) / 1

LCM(1997,1593) = 3181221 / 1

LCM(1997,1593) = 3181221


Lets's calculate GCF of 87,293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3181221/1

Therefore the LCM of Fractions 1997/87,1593/293 is 3181221

Greatest Common Factor of 87,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,293 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 87,293 . The biggest common factor number is the GCF number.
So the greatest common factor 87,293 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 1997/87, 1593/293

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 1997/87, 1593/293?

Answer: LCM of Numerators as per given numbers 1997/87, 1593/293 is

LCM of Numerators i.e. for 1997,1593 is 3181221

GCF of denominators i.e. for 87,293 is 1.

Thus, LCM of Fractions is 3181221.Finally, LCM of Fractions for 1997/87, 1593/293 is 3181221.