Least Common Multiple of 353/96, 865/1579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 353/96, 865/1579 quickly i.e. 305345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 353/96, 865/1579 is 305345.

LCM(353/96, 865/1579) = 305345

LCM of 353/96, 865/1579

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 353/96,865/1579

Given numbers are 353/96,865/1579

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 353,865

Least Common Multiple of Numerators i.e. LCM of 353,865 is 305345.

GCF of Denominators means GCF of 96,1579 as per the given fractions.

GCF of 96,1579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 353,865

LCM of Fractions 353/96,865/1579 is 305345

Given numbers has no common factors except 1. So, there LCM is their product i.e 305345

Least Common Multiple of 353,865 with GCF Formula

Least Common Multiple of 353,865 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 353,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,865) = 1

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

GCF(353,865) x common factors =1 x 1 = 1

LCM(353,865) = ( 353 × 865 ) / 1

LCM(353,865) = 305345 / 1

LCM(353,865) = 305345


Lets's calculate GCF of 96,1579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305345/1

Therefore the LCM of Fractions 353/96,865/1579 is 305345

Greatest Common Factor of 96,1579 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,1579 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 1579

List of positive integer factors of 1579 that divides 1579 without a remainder.

1,1579

Greatest Common Factor

We found the factors 96,1579 . The biggest common factor number is the GCF number.
So the greatest common factor 96,1579 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 353/96, 865/1579

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 353/96, 865/1579?

Answer: LCM of Numerators as per given numbers 353/96, 865/1579 is

LCM of Numerators i.e. for 353,865 is 305345

GCF of denominators i.e. for 96,1579 is 1.

Thus, LCM of Fractions is 305345.Finally, LCM of Fractions for 353/96, 865/1579 is 305345.