Least Common Multiple of 999/27, 505/45, 457/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 999/27, 505/45, 457/96 quickly i.e. 76851405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 999/27, 505/45, 457/96 is 76851405.

LCM(999/27, 505/45, 457/96) = 76851405

LCM of 999/27, 505/45, 457/96

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 999/27,505/45,457/96

Given numbers are 999/27,505/45,457/96

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 999,505,457

Least Common Multiple of Numerators i.e. LCM of 999,505,457 is 230554215.

GCF of Denominators means GCF of 27,45,96 as per the given fractions.

GCF of 27,45,96 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 999,505,457

LCM of Fractions 999/27,505/45,457/96 is 76851405

Given numbers has no common factors except 1. So, there LCM is their product i.e 230554215

Least Common Multiple of 999,505,457 with GCF Formula

Least Common Multiple of 999,505,457 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 999,505,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,505,457) = 1

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

GCF(999,505,457) x common factors =1 x 1 = 1

LCM(999,505,457) = ( 999 × 505 × 457 ) / 1

LCM(999,505,457) = 230554215 / 1

LCM(999,505,457) = 230554215


Lets's calculate GCF of 27,45,96

3 27, 45, 96
9, 15, 32

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230554215/3

Therefore the LCM of Fractions 999/27,505/45,457/96 is 76851405

Greatest Common Factor of 27,45,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,45,96 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 45

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

1,3,5,9,15,45

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

Greatest Common Factor

We found the factors 27,45,96 . The biggest common factor number is the GCF number.
So the greatest common factor 27,45,96 is 3.


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 999/27, 505/45, 457/96

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 999/27, 505/45, 457/96?

Answer: LCM of Numerators as per given numbers 999/27, 505/45, 457/96 is

LCM of Numerators i.e. for 999,505,457 is 230554215

GCF of denominators i.e. for 27,45,96 is 3.

Thus, LCM of Fractions is 76851405.Finally, LCM of Fractions for 999/27, 505/45, 457/96 is 76851405.