Least Common Multiple of 384/97, 170/3519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/97, 170/3519 quickly i.e. 32640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/97, 170/3519 is 32640.

LCM(384/97, 170/3519) = 32640

LCM of 384/97, 170/3519

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 384/97,170/3519

Given numbers are 384/97,170/3519

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 384,170

Least Common Multiple of Numerators i.e. LCM of 384,170 is 32640.

GCF of Denominators means GCF of 97,3519 as per the given fractions.

GCF of 97,3519 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,170

LCM of Fractions 384/97,170/3519 is 32640

2 384, 170
192, 85

∴ So the LCM of the given numbers is 2 x 192 x 85 = 32640

Least Common Multiple of 384,170 with GCF Formula

Least Common Multiple of 384,170 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 384,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,170) = 2

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

GCF(384,170) x common factors =2 x 1 = 2

LCM(384,170) = ( 384 × 170 ) / 2

LCM(384,170) = 65280 / 2

LCM(384,170) = 32640


Lets's calculate GCF of 97,3519

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32640/1

Therefore the LCM of Fractions 384/97,170/3519 is 32640

Greatest Common Factor of 97,3519 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,3519 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 3519

List of positive integer factors of 3519 that divides 3519 without a remainder.

1,3,9,17,23,51,69,153,207,391,1173,3519

Greatest Common Factor

We found the factors 97,3519 . The biggest common factor number is the GCF number.
So the greatest common factor 97,3519 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 384/97, 170/3519

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 384/97, 170/3519?

Answer: LCM of Numerators as per given numbers 384/97, 170/3519 is

LCM of Numerators i.e. for 384,170 is 32640

GCF of denominators i.e. for 97,3519 is 1.

Thus, LCM of Fractions is 32640.Finally, LCM of Fractions for 384/97, 170/3519 is 32640.