Least Common Multiple of 31/28, 96/16, 19/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/28, 96/16, 19/292 quickly i.e. 14136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/28, 96/16, 19/292 is 14136.

LCM(31/28, 96/16, 19/292) = 14136

LCM of 31/28, 96/16, 19/292

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 31/28,96/16,19/292

Given numbers are 31/28,96/16,19/292

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 31,96,19

Least Common Multiple of Numerators i.e. LCM of 31,96,19 is 56544.

GCF of Denominators means GCF of 28,16,292 as per the given fractions.

GCF of 28,16,292 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,96,19

LCM of Fractions 31/28,96/16,19/292 is 14136

Given numbers has no common factors except 1. So, there LCM is their product i.e 56544

Least Common Multiple of 31,96,19 with GCF Formula

Least Common Multiple of 31,96,19 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 31,96,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,96,19) = 1

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

GCF(31,96,19) x common factors =1 x 1 = 1

LCM(31,96,19) = ( 31 × 96 × 19 ) / 1

LCM(31,96,19) = 56544 / 1

LCM(31,96,19) = 56544


Lets's calculate GCF of 28,16,292

2 28, 16, 292
2 14, 8, 146
7, 4, 73

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56544/4

Therefore the LCM of Fractions 31/28,96/16,19/292 is 14136

Greatest Common Factor of 28,16,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,16,292 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 28,16,292 . The biggest common factor number is the GCF number.
So the greatest common factor 28,16,292 is 4.


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 31/28, 96/16, 19/292

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 31/28, 96/16, 19/292?

Answer: LCM of Numerators as per given numbers 31/28, 96/16, 19/292 is

LCM of Numerators i.e. for 31,96,19 is 56544

GCF of denominators i.e. for 28,16,292 is 4.

Thus, LCM of Fractions is 14136.Finally, LCM of Fractions for 31/28, 96/16, 19/292 is 14136.