Least Common Multiple of 31/96, 73/56, 14/46, 992/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/96, 73/56, 14/46, 992/21 quickly i.e. 506912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/96, 73/56, 14/46, 992/21 is 506912.

LCM(31/96, 73/56, 14/46, 992/21) = 506912

LCM of 31/96, 73/56, 14/46, 992/21

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 31/96,73/56,14/46,992/21

Given numbers are 31/96,73/56,14/46,992/21

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 31,73,14,992

Least Common Multiple of Numerators i.e. LCM of 31,73,14,992 is 506912.

GCF of Denominators means GCF of 96,56,46,21 as per the given fractions.

GCF of 96,56,46,21 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,73,14,992

LCM of Fractions 31/96,73/56,14/46,992/21 is 506912

2 31, 73, 14, 992
31 31, 73, 7, 496
1, 73, 7, 16

∴ So the LCM of the given numbers is 2 x 31 x 1 x 73 x 7 x 16 = 506912

Least Common Multiple of 31,73,14,992 with GCF Formula

Least Common Multiple of 31,73,14,992 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 31,73,14,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,73,14,992) = 1

common factors(in case of two or more numbers have common factors) = 62

GCF(31,73,14,992) x common factors =1 x 62 = 62

LCM(31,73,14,992) = ( 31 × 73 × 14 × 992 ) / 62

LCM(31,73,14,992) = 31428544 / 62

LCM(31,73,14,992) = 506912


Lets's calculate GCF of 96,56,46,21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 506912/1

Therefore the LCM of Fractions 31/96,73/56,14/46,992/21 is 506912

Greatest Common Factor of 96,56,46,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,56,46,21 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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 96,56,46,21 . The biggest common factor number is the GCF number.
So the greatest common factor 96,56,46,21 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 31/96, 73/56, 14/46, 992/21

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 31/96, 73/56, 14/46, 992/21?

Answer: LCM of Numerators as per given numbers 31/96, 73/56, 14/46, 992/21 is

LCM of Numerators i.e. for 31,73,14,992 is 506912

GCF of denominators i.e. for 96,56,46,21 is 1.

Thus, LCM of Fractions is 506912.Finally, LCM of Fractions for 31/96, 73/56, 14/46, 992/21 is 506912.