Least Common Multiple of 31/48, 19/63, 32/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/48, 19/63, 32/807 quickly i.e. 18848/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/48, 19/63, 32/807 is 18848/3.

LCM(31/48, 19/63, 32/807) = 18848/3

LCM of 31/48, 19/63, 32/807

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 31/48,19/63,32/807

Given numbers are 31/48,19/63,32/807

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 31,19,32

Least Common Multiple of Numerators i.e. LCM of 31,19,32 is 18848.

GCF of Denominators means GCF of 48,63,807 as per the given fractions.

GCF of 48,63,807 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,19,32

LCM of Fractions 31/48,19/63,32/807 is 18848/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 18848

Least Common Multiple of 31,19,32 with GCF Formula

Least Common Multiple of 31,19,32 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 31,19,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,19,32) = 1

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

GCF(31,19,32) x common factors =1 x 1 = 1

LCM(31,19,32) = ( 31 × 19 × 32 ) / 1

LCM(31,19,32) = 18848 / 1

LCM(31,19,32) = 18848


Lets's calculate GCF of 48,63,807

3 48, 63, 807
16, 21, 269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18848/3

Therefore the LCM of Fractions 31/48,19/63,32/807 is 18848/3

Greatest Common Factor of 48,63,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,63,807 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 48,63,807 . The biggest common factor number is the GCF number.
So the greatest common factor 48,63,807 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 31/48, 19/63, 32/807

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 31/48, 19/63, 32/807?

Answer: LCM of Numerators as per given numbers 31/48, 19/63, 32/807 is

LCM of Numerators i.e. for 31,19,32 is 18848

GCF of denominators i.e. for 48,63,807 is 3.

Thus, LCM of Fractions is 18848/3.Finally, LCM of Fractions for 31/48, 19/63, 32/807 is 18848/3.