Least Common Multiple of 22/733, 695/920, 471/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/733, 695/920, 471/493 quickly i.e. 7201590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/733, 695/920, 471/493 is 7201590.

LCM(22/733, 695/920, 471/493) = 7201590

LCM of 22/733, 695/920, 471/493

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 22/733,695/920,471/493

Given numbers are 22/733,695/920,471/493

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 22,695,471

Least Common Multiple of Numerators i.e. LCM of 22,695,471 is 7201590.

GCF of Denominators means GCF of 733,920,493 as per the given fractions.

GCF of 733,920,493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,695,471

LCM of Fractions 22/733,695/920,471/493 is 7201590

Given numbers has no common factors except 1. So, there LCM is their product i.e 7201590

Least Common Multiple of 22,695,471 with GCF Formula

Least Common Multiple of 22,695,471 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 22,695,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,695,471) = 1

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

GCF(22,695,471) x common factors =1 x 1 = 1

LCM(22,695,471) = ( 22 × 695 × 471 ) / 1

LCM(22,695,471) = 7201590 / 1

LCM(22,695,471) = 7201590


Lets's calculate GCF of 733,920,493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7201590/1

Therefore the LCM of Fractions 22/733,695/920,471/493 is 7201590

Greatest Common Factor of 733,920,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,920,493 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 733,920,493 . The biggest common factor number is the GCF number.
So the greatest common factor 733,920,493 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 22/733, 695/920, 471/493

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 22/733, 695/920, 471/493?

Answer: LCM of Numerators as per given numbers 22/733, 695/920, 471/493 is

LCM of Numerators i.e. for 22,695,471 is 7201590

GCF of denominators i.e. for 733,920,493 is 1.

Thus, LCM of Fractions is 7201590.Finally, LCM of Fractions for 22/733, 695/920, 471/493 is 7201590.