Least Common Multiple of 33/723, 172/975, 782/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/723, 172/975, 782/823 quickly i.e. 2219316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/723, 172/975, 782/823 is 2219316.

LCM(33/723, 172/975, 782/823) = 2219316

LCM of 33/723, 172/975, 782/823

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 33/723,172/975,782/823

Given numbers are 33/723,172/975,782/823

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 33,172,782

Least Common Multiple of Numerators i.e. LCM of 33,172,782 is 2219316.

GCF of Denominators means GCF of 723,975,823 as per the given fractions.

GCF of 723,975,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,172,782

LCM of Fractions 33/723,172/975,782/823 is 2219316

2 33, 172, 782
33, 86, 391

∴ So the LCM of the given numbers is 2 x 33 x 86 x 391 = 2219316

Least Common Multiple of 33,172,782 with GCF Formula

Least Common Multiple of 33,172,782 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 33,172,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,172,782) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(33,172,782) x common factors =1 x 2 = 2

LCM(33,172,782) = ( 33 × 172 × 782 ) / 2

LCM(33,172,782) = 4438632 / 2

LCM(33,172,782) = 2219316


Lets's calculate GCF of 723,975,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2219316/1

Therefore the LCM of Fractions 33/723,172/975,782/823 is 2219316

Greatest Common Factor of 723,975,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,975,823 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

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 723,975,823 . The biggest common factor number is the GCF number.
So the greatest common factor 723,975,823 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 33/723, 172/975, 782/823

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 33/723, 172/975, 782/823?

Answer: LCM of Numerators as per given numbers 33/723, 172/975, 782/823 is

LCM of Numerators i.e. for 33,172,782 is 2219316

GCF of denominators i.e. for 723,975,823 is 1.

Thus, LCM of Fractions is 2219316.Finally, LCM of Fractions for 33/723, 172/975, 782/823 is 2219316.