Least Common Multiple of 545/21, 172/4093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 545/21, 172/4093 quickly i.e. 93740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 545/21, 172/4093 is 93740.

LCM(545/21, 172/4093) = 93740

LCM of 545/21, 172/4093

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 545/21,172/4093

Given numbers are 545/21,172/4093

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 545,172

Least Common Multiple of Numerators i.e. LCM of 545,172 is 93740.

GCF of Denominators means GCF of 21,4093 as per the given fractions.

GCF of 21,4093 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 545,172

LCM of Fractions 545/21,172/4093 is 93740

Given numbers has no common factors except 1. So, there LCM is their product i.e 93740

Least Common Multiple of 545,172 with GCF Formula

Least Common Multiple of 545,172 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 545,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,172) = 1

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

GCF(545,172) x common factors =1 x 1 = 1

LCM(545,172) = ( 545 × 172 ) / 1

LCM(545,172) = 93740 / 1

LCM(545,172) = 93740


Lets's calculate GCF of 21,4093

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93740/1

Therefore the LCM of Fractions 545/21,172/4093 is 93740

Greatest Common Factor of 21,4093 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,4093 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 4093

List of positive integer factors of 4093 that divides 4093 without a remainder.

1,4093

Greatest Common Factor

We found the factors 21,4093 . The biggest common factor number is the GCF number.
So the greatest common factor 21,4093 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 545/21, 172/4093

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 545/21, 172/4093?

Answer: LCM of Numerators as per given numbers 545/21, 172/4093 is

LCM of Numerators i.e. for 545,172 is 93740

GCF of denominators i.e. for 21,4093 is 1.

Thus, LCM of Fractions is 93740.Finally, LCM of Fractions for 545/21, 172/4093 is 93740.