Least Common Multiple of 32/532, 19/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/532, 19/817 quickly i.e. 32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/532, 19/817 is 32.

LCM(32/532, 19/817) = 32

LCM of 32/532, 19/817

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 32/532,19/817

Given numbers are 32/532,19/817

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 32,19

Least Common Multiple of Numerators i.e. LCM of 32,19 is 608.

GCF of Denominators means GCF of 532,817 as per the given fractions.

GCF of 532,817 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,19

LCM of Fractions 32/532,19/817 is 32

Given numbers has no common factors except 1. So, there LCM is their product i.e 608

Least Common Multiple of 32,19 with GCF Formula

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

GCF(32,19) = 1

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

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

LCM(32,19) = ( 32 × 19 ) / 1

LCM(32,19) = 608 / 1

LCM(32,19) = 608


Lets's calculate GCF of 532,817

19 532, 817
28, 43

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 608/19

Therefore the LCM of Fractions 32/532,19/817 is 32

Greatest Common Factor of 532,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,817 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 532,817 . The biggest common factor number is the GCF number.
So the greatest common factor 532,817 is 19.


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 32/532, 19/817

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 32/532, 19/817?

Answer: LCM of Numerators as per given numbers 32/532, 19/817 is

LCM of Numerators i.e. for 32,19 is 608

GCF of denominators i.e. for 532,817 is 19.

Thus, LCM of Fractions is 32.Finally, LCM of Fractions for 32/532, 19/817 is 32.