Least Common Multiple of 179/45, 708/2723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 179/45, 708/2723 quickly i.e. 126732 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, 708/2723 is 126732.

LCM(179/45, 708/2723) = 126732

LCM of 179/45, 708/2723

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 179/45,708/2723

Given numbers are 179/45,708/2723

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 179,708

Least Common Multiple of Numerators i.e. LCM of 179,708 is 126732.

GCF of Denominators means GCF of 45,2723 as per the given fractions.

GCF of 45,2723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 179,708

LCM of Fractions 179/45,708/2723 is 126732

Given numbers has no common factors except 1. So, there LCM is their product i.e 126732

Least Common Multiple of 179,708 with GCF Formula

Least Common Multiple of 179,708 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 179,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,708) = 1

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

GCF(179,708) x common factors =1 x 1 = 1

LCM(179,708) = ( 179 × 708 ) / 1

LCM(179,708) = 126732 / 1

LCM(179,708) = 126732


Lets's calculate GCF of 45,2723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126732/1

Therefore the LCM of Fractions 179/45,708/2723 is 126732

Greatest Common Factor of 45,2723 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,2723 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 2723

List of positive integer factors of 2723 that divides 2723 without a remainder.

1,7,389,2723

Greatest Common Factor

We found the factors 45,2723 . The biggest common factor number is the GCF number.
So the greatest common factor 45,2723 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 179/45, 708/2723

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, 708/2723?

Answer: LCM of Numerators as per given numbers 179/45, 708/2723 is

LCM of Numerators i.e. for 179,708 is 126732

GCF of denominators i.e. for 45,2723 is 1.

Thus, LCM of Fractions is 126732.Finally, LCM of Fractions for 179/45, 708/2723 is 126732.