Least Common Multiple of 179/45, 465/4903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 179/45, 465/4903 quickly i.e. 83235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 179/45, 465/4903 is 83235.

LCM(179/45, 465/4903) = 83235

LCM of 179/45, 465/4903

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 179/45,465/4903

Given numbers are 179/45,465/4903

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 179,465

Least Common Multiple of Numerators i.e. LCM of 179,465 is 83235.

GCF of Denominators means GCF of 45,4903 as per the given fractions.

GCF of 45,4903 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 179,465

LCM of Fractions 179/45,465/4903 is 83235

Given numbers has no common factors except 1. So, there LCM is their product i.e 83235

Least Common Multiple of 179,465 with GCF Formula

Least Common Multiple of 179,465 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 179,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,465) = 1

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

GCF(179,465) x common factors =1 x 1 = 1

LCM(179,465) = ( 179 × 465 ) / 1

LCM(179,465) = 83235 / 1

LCM(179,465) = 83235


Lets's calculate GCF of 45,4903

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83235/1

Therefore the LCM of Fractions 179/45,465/4903 is 83235

Greatest Common Factor of 45,4903 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,4903 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 4903

List of positive integer factors of 4903 that divides 4903 without a remainder.

1,4903

Greatest Common Factor

We found the factors 45,4903 . The biggest common factor number is the GCF number.
So the greatest common factor 45,4903 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 179/45, 465/4903

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 179/45, 465/4903?

Answer: LCM of Numerators as per given numbers 179/45, 465/4903 is

LCM of Numerators i.e. for 179,465 is 83235

GCF of denominators i.e. for 45,4903 is 1.

Thus, LCM of Fractions is 83235.Finally, LCM of Fractions for 179/45, 465/4903 is 83235.