Least Common Multiple of 21/96, 82/56, 419/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/96, 82/56, 419/966 quickly i.e. 360759 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/96, 82/56, 419/966 is 360759.

LCM(21/96, 82/56, 419/966) = 360759

LCM of 21/96, 82/56, 419/966

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 21/96,82/56,419/966

Given numbers are 21/96,82/56,419/966

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 21,82,419

Least Common Multiple of Numerators i.e. LCM of 21,82,419 is 721518.

GCF of Denominators means GCF of 96,56,966 as per the given fractions.

GCF of 96,56,966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,82,419

LCM of Fractions 21/96,82/56,419/966 is 360759

Given numbers has no common factors except 1. So, there LCM is their product i.e 721518

Least Common Multiple of 21,82,419 with GCF Formula

Least Common Multiple of 21,82,419 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 21,82,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,82,419) = 1

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

GCF(21,82,419) x common factors =1 x 1 = 1

LCM(21,82,419) = ( 21 × 82 × 419 ) / 1

LCM(21,82,419) = 721518 / 1

LCM(21,82,419) = 721518


Lets's calculate GCF of 96,56,966

2 96, 56, 966
48, 28, 483

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 721518/2

Therefore the LCM of Fractions 21/96,82/56,419/966 is 360759

Greatest Common Factor of 96,56,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,56,966 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 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 96,56,966 . The biggest common factor number is the GCF number.
So the greatest common factor 96,56,966 is 2.


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 21/96, 82/56, 419/966

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 21/96, 82/56, 419/966?

Answer: LCM of Numerators as per given numbers 21/96, 82/56, 419/966 is

LCM of Numerators i.e. for 21,82,419 is 721518

GCF of denominators i.e. for 96,56,966 is 2.

Thus, LCM of Fractions is 360759.Finally, LCM of Fractions for 21/96, 82/56, 419/966 is 360759.