Least Common Multiple of 305/488, 160/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/488, 160/723 quickly i.e. 9760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/488, 160/723 is 9760.

LCM(305/488, 160/723) = 9760

LCM of 305/488, 160/723

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 305/488,160/723

Given numbers are 305/488,160/723

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 305,160

Least Common Multiple of Numerators i.e. LCM of 305,160 is 9760.

GCF of Denominators means GCF of 488,723 as per the given fractions.

GCF of 488,723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,160

LCM of Fractions 305/488,160/723 is 9760

5 305, 160
61, 32

∴ So the LCM of the given numbers is 5 x 61 x 32 = 9760

Least Common Multiple of 305,160 with GCF Formula

Least Common Multiple of 305,160 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 305,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,160) = 5

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

GCF(305,160) x common factors =5 x 1 = 5

LCM(305,160) = ( 305 × 160 ) / 5

LCM(305,160) = 48800 / 5

LCM(305,160) = 9760


Lets's calculate GCF of 488,723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9760/1

Therefore the LCM of Fractions 305/488,160/723 is 9760

Greatest Common Factor of 488,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,723 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 488,723 . The biggest common factor number is the GCF number.
So the greatest common factor 488,723 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 305/488, 160/723

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 305/488, 160/723?

Answer: LCM of Numerators as per given numbers 305/488, 160/723 is

LCM of Numerators i.e. for 305,160 is 9760

GCF of denominators i.e. for 488,723 is 1.

Thus, LCM of Fractions is 9760.Finally, LCM of Fractions for 305/488, 160/723 is 9760.