Least Common Multiple of 27/975, 69/570, 197/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/975, 69/570, 197/993 quickly i.e. 40779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/975, 69/570, 197/993 is 40779.

LCM(27/975, 69/570, 197/993) = 40779

LCM of 27/975, 69/570, 197/993

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 27/975,69/570,197/993

Given numbers are 27/975,69/570,197/993

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 27,69,197

Least Common Multiple of Numerators i.e. LCM of 27,69,197 is 122337.

GCF of Denominators means GCF of 975,570,993 as per the given fractions.

GCF of 975,570,993 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,69,197

LCM of Fractions 27/975,69/570,197/993 is 40779

3 27, 69, 197
9, 23, 197

∴ So the LCM of the given numbers is 3 x 9 x 23 x 197 = 122337

Least Common Multiple of 27,69,197 with GCF Formula

Least Common Multiple of 27,69,197 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 27,69,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,69,197) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,69,197) x common factors =1 x 3 = 3

LCM(27,69,197) = ( 27 × 69 × 197 ) / 3

LCM(27,69,197) = 367011 / 3

LCM(27,69,197) = 122337


Lets's calculate GCF of 975,570,993

3 975, 570, 993
325, 190, 331

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122337/3

Therefore the LCM of Fractions 27/975,69/570,197/993 is 40779

Greatest Common Factor of 975,570,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,570,993 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 975,570,993 . The biggest common factor number is the GCF number.
So the greatest common factor 975,570,993 is 3.


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 27/975, 69/570, 197/993

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 27/975, 69/570, 197/993?

Answer: LCM of Numerators as per given numbers 27/975, 69/570, 197/993 is

LCM of Numerators i.e. for 27,69,197 is 122337

GCF of denominators i.e. for 975,570,993 is 3.

Thus, LCM of Fractions is 40779.Finally, LCM of Fractions for 27/975, 69/570, 197/993 is 40779.