Least Common Multiple of 39/97, 969/33, 605/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/97, 969/33, 605/188 quickly i.e. 7621185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/97, 969/33, 605/188 is 7621185.

LCM(39/97, 969/33, 605/188) = 7621185

LCM of 39/97, 969/33, 605/188

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 39/97,969/33,605/188

Given numbers are 39/97,969/33,605/188

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 39,969,605

Least Common Multiple of Numerators i.e. LCM of 39,969,605 is 7621185.

GCF of Denominators means GCF of 97,33,188 as per the given fractions.

GCF of 97,33,188 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,969,605

LCM of Fractions 39/97,969/33,605/188 is 7621185

3 39, 969, 605
13, 323, 605

∴ So the LCM of the given numbers is 3 x 13 x 323 x 605 = 7621185

Least Common Multiple of 39,969,605 with GCF Formula

Least Common Multiple of 39,969,605 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 39,969,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,969,605) = 1

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

GCF(39,969,605) x common factors =1 x 3 = 3

LCM(39,969,605) = ( 39 × 969 × 605 ) / 3

LCM(39,969,605) = 22863555 / 3

LCM(39,969,605) = 7621185


Lets's calculate GCF of 97,33,188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7621185/1

Therefore the LCM of Fractions 39/97,969/33,605/188 is 7621185

Greatest Common Factor of 97,33,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,33,188 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 97,33,188 . The biggest common factor number is the GCF number.
So the greatest common factor 97,33,188 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/97, 969/33, 605/188

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 39/97, 969/33, 605/188?

Answer: LCM of Numerators as per given numbers 39/97, 969/33, 605/188 is

LCM of Numerators i.e. for 39,969,605 is 7621185

GCF of denominators i.e. for 97,33,188 is 1.

Thus, LCM of Fractions is 7621185.Finally, LCM of Fractions for 39/97, 969/33, 605/188 is 7621185.