Least Common Multiple of 305/25, 591/93, 816/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/25, 591/93, 816/353 quickly i.e. 49029360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/25, 591/93, 816/353 is 49029360.

LCM(305/25, 591/93, 816/353) = 49029360

LCM of 305/25, 591/93, 816/353

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 305/25,591/93,816/353

Given numbers are 305/25,591/93,816/353

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 305,591,816

Least Common Multiple of Numerators i.e. LCM of 305,591,816 is 49029360.

GCF of Denominators means GCF of 25,93,353 as per the given fractions.

GCF of 25,93,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,591,816

LCM of Fractions 305/25,591/93,816/353 is 49029360

3 305, 591, 816
305, 197, 272

∴ So the LCM of the given numbers is 3 x 305 x 197 x 272 = 49029360

Least Common Multiple of 305,591,816 with GCF Formula

Least Common Multiple of 305,591,816 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 305,591,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,591,816) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(305,591,816) x common factors =1 x 3 = 3

LCM(305,591,816) = ( 305 × 591 × 816 ) / 3

LCM(305,591,816) = 147088080 / 3

LCM(305,591,816) = 49029360


Lets's calculate GCF of 25,93,353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49029360/1

Therefore the LCM of Fractions 305/25,591/93,816/353 is 49029360

Greatest Common Factor of 25,93,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,93,353 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 25,93,353 . The biggest common factor number is the GCF number.
So the greatest common factor 25,93,353 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 305/25, 591/93, 816/353

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 305/25, 591/93, 816/353?

Answer: LCM of Numerators as per given numbers 305/25, 591/93, 816/353 is

LCM of Numerators i.e. for 305,591,816 is 49029360

GCF of denominators i.e. for 25,93,353 is 1.

Thus, LCM of Fractions is 49029360.Finally, LCM of Fractions for 305/25, 591/93, 816/353 is 49029360.