Least Common Multiple of 58/171, 2069/9697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/171, 2069/9697 quickly i.e. 120002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/171, 2069/9697 is 120002.

LCM(58/171, 2069/9697) = 120002

LCM of 58/171, 2069/9697

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 58/171,2069/9697

Given numbers are 58/171,2069/9697

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 58,2069

Least Common Multiple of Numerators i.e. LCM of 58,2069 is 120002.

GCF of Denominators means GCF of 171,9697 as per the given fractions.

GCF of 171,9697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,2069

LCM of Fractions 58/171,2069/9697 is 120002

Given numbers has no common factors except 1. So, there LCM is their product i.e 120002

Least Common Multiple of 58,2069 with GCF Formula

Least Common Multiple of 58,2069 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 58,2069 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,2069) = 1

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

GCF(58,2069) x common factors =1 x 1 = 1

LCM(58,2069) = ( 58 × 2069 ) / 1

LCM(58,2069) = 120002 / 1

LCM(58,2069) = 120002


Lets's calculate GCF of 171,9697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120002/1

Therefore the LCM of Fractions 58/171,2069/9697 is 120002

Greatest Common Factor of 171,9697 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,9697 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 9697

List of positive integer factors of 9697 that divides 9697 without a remainder.

1,9697

Greatest Common Factor

We found the factors 171,9697 . The biggest common factor number is the GCF number.
So the greatest common factor 171,9697 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 58/171, 2069/9697

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 58/171, 2069/9697?

Answer: LCM of Numerators as per given numbers 58/171, 2069/9697 is

LCM of Numerators i.e. for 58,2069 is 120002

GCF of denominators i.e. for 171,9697 is 1.

Thus, LCM of Fractions is 120002.Finally, LCM of Fractions for 58/171, 2069/9697 is 120002.