Least Common Multiple of 33/32, 74/83, 809/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/32, 74/83, 809/557 quickly i.e. 1975578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/32, 74/83, 809/557 is 1975578.

LCM(33/32, 74/83, 809/557) = 1975578

LCM of 33/32, 74/83, 809/557

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 33/32,74/83,809/557

Given numbers are 33/32,74/83,809/557

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 33,74,809

Least Common Multiple of Numerators i.e. LCM of 33,74,809 is 1975578.

GCF of Denominators means GCF of 32,83,557 as per the given fractions.

GCF of 32,83,557 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,74,809

LCM of Fractions 33/32,74/83,809/557 is 1975578

Given numbers has no common factors except 1. So, there LCM is their product i.e 1975578

Least Common Multiple of 33,74,809 with GCF Formula

Least Common Multiple of 33,74,809 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 33,74,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,74,809) = 1

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

GCF(33,74,809) x common factors =1 x 1 = 1

LCM(33,74,809) = ( 33 × 74 × 809 ) / 1

LCM(33,74,809) = 1975578 / 1

LCM(33,74,809) = 1975578


Lets's calculate GCF of 32,83,557

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1975578/1

Therefore the LCM of Fractions 33/32,74/83,809/557 is 1975578

Greatest Common Factor of 32,83,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,83,557 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 83

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

1,83

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors 32,83,557 . The biggest common factor number is the GCF number.
So the greatest common factor 32,83,557 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 33/32, 74/83, 809/557

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 33/32, 74/83, 809/557?

Answer: LCM of Numerators as per given numbers 33/32, 74/83, 809/557 is

LCM of Numerators i.e. for 33,74,809 is 1975578

GCF of denominators i.e. for 32,83,557 is 1.

Thus, LCM of Fractions is 1975578.Finally, LCM of Fractions for 33/32, 74/83, 809/557 is 1975578.