Least Common Multiple of 32/12, 85/83, 34/90, 35/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/12, 85/83, 34/90, 35/823 quickly i.e. 19040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/12, 85/83, 34/90, 35/823 is 19040.

LCM(32/12, 85/83, 34/90, 35/823) = 19040

LCM of 32/12, 85/83, 34/90, 35/823

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 32/12,85/83,34/90,35/823

Given numbers are 32/12,85/83,34/90,35/823

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 32,85,34,35

Least Common Multiple of Numerators i.e. LCM of 32,85,34,35 is 19040.

GCF of Denominators means GCF of 12,83,90,823 as per the given fractions.

GCF of 12,83,90,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,85,34,35

LCM of Fractions 32/12,85/83,34/90,35/823 is 19040

2 32, 85, 34, 35
5 16, 85, 17, 35
17 16, 17, 17, 7
16, 1, 1, 7

∴ So the LCM of the given numbers is 2 x 5 x 17 x 16 x 1 x 1 x 7 = 19040

Least Common Multiple of 32,85,34,35 with GCF Formula

Least Common Multiple of 32,85,34,35 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 32,85,34,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,85,34,35) = 1

common factors(in case of two or more numbers have common factors) = 170

GCF(32,85,34,35) x common factors =1 x 170 = 170

LCM(32,85,34,35) = ( 32 × 85 × 34 × 35 ) / 170

LCM(32,85,34,35) = 3236800 / 170

LCM(32,85,34,35) = 19040


Lets's calculate GCF of 12,83,90,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19040/1

Therefore the LCM of Fractions 32/12,85/83,34/90,35/823 is 19040

Greatest Common Factor of 12,83,90,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,83,90,823 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 12,83,90,823 . The biggest common factor number is the GCF number.
So the greatest common factor 12,83,90,823 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 32/12, 85/83, 34/90, 35/823

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 32/12, 85/83, 34/90, 35/823?

Answer: LCM of Numerators as per given numbers 32/12, 85/83, 34/90, 35/823 is

LCM of Numerators i.e. for 32,85,34,35 is 19040

GCF of denominators i.e. for 12,83,90,823 is 1.

Thus, LCM of Fractions is 19040.Finally, LCM of Fractions for 32/12, 85/83, 34/90, 35/823 is 19040.