Least Common Multiple of 179/53, 223/6785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 179/53, 223/6785 quickly i.e. 39917 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 179/53, 223/6785 is 39917.

LCM(179/53, 223/6785) = 39917

LCM of 179/53, 223/6785

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 179/53,223/6785

Given numbers are 179/53,223/6785

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 179,223

Least Common Multiple of Numerators i.e. LCM of 179,223 is 39917.

GCF of Denominators means GCF of 53,6785 as per the given fractions.

GCF of 53,6785 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 179,223

LCM of Fractions 179/53,223/6785 is 39917

Given numbers has no common factors except 1. So, there LCM is their product i.e 39917

Least Common Multiple of 179,223 with GCF Formula

Least Common Multiple of 179,223 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 179,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,223) = 1

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

GCF(179,223) x common factors =1 x 1 = 1

LCM(179,223) = ( 179 × 223 ) / 1

LCM(179,223) = 39917 / 1

LCM(179,223) = 39917


Lets's calculate GCF of 53,6785

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39917/1

Therefore the LCM of Fractions 179/53,223/6785 is 39917

Greatest Common Factor of 53,6785 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,6785 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 6785

List of positive integer factors of 6785 that divides 6785 without a remainder.

1,5,23,59,115,295,1357,6785

Greatest Common Factor

We found the factors 53,6785 . The biggest common factor number is the GCF number.
So the greatest common factor 53,6785 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 179/53, 223/6785

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 179/53, 223/6785?

Answer: LCM of Numerators as per given numbers 179/53, 223/6785 is

LCM of Numerators i.e. for 179,223 is 39917

GCF of denominators i.e. for 53,6785 is 1.

Thus, LCM of Fractions is 39917.Finally, LCM of Fractions for 179/53, 223/6785 is 39917.