Least Common Multiple of 471/74, 224/57, 163/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 471/74, 224/57, 163/223 quickly i.e. 17197152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 471/74, 224/57, 163/223 is 17197152.

LCM(471/74, 224/57, 163/223) = 17197152

LCM of 471/74, 224/57, 163/223

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 471/74,224/57,163/223

Given numbers are 471/74,224/57,163/223

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 471,224,163

Least Common Multiple of Numerators i.e. LCM of 471,224,163 is 17197152.

GCF of Denominators means GCF of 74,57,223 as per the given fractions.

GCF of 74,57,223 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 471,224,163

LCM of Fractions 471/74,224/57,163/223 is 17197152

Given numbers has no common factors except 1. So, there LCM is their product i.e 17197152

Least Common Multiple of 471,224,163 with GCF Formula

Least Common Multiple of 471,224,163 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 471,224,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,224,163) = 1

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

GCF(471,224,163) x common factors =1 x 1 = 1

LCM(471,224,163) = ( 471 × 224 × 163 ) / 1

LCM(471,224,163) = 17197152 / 1

LCM(471,224,163) = 17197152


Lets's calculate GCF of 74,57,223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17197152/1

Therefore the LCM of Fractions 471/74,224/57,163/223 is 17197152

Greatest Common Factor of 74,57,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,57,223 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors 74,57,223 . The biggest common factor number is the GCF number.
So the greatest common factor 74,57,223 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 471/74, 224/57, 163/223

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 471/74, 224/57, 163/223?

Answer: LCM of Numerators as per given numbers 471/74, 224/57, 163/223 is

LCM of Numerators i.e. for 471,224,163 is 17197152

GCF of denominators i.e. for 74,57,223 is 1.

Thus, LCM of Fractions is 17197152.Finally, LCM of Fractions for 471/74, 224/57, 163/223 is 17197152.