Least Common Multiple of 477/71, 171/4945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 477/71, 171/4945 quickly i.e. 9063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 477/71, 171/4945 is 9063.

LCM(477/71, 171/4945) = 9063

LCM of 477/71, 171/4945

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 477/71,171/4945

Given numbers are 477/71,171/4945

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 477,171

Least Common Multiple of Numerators i.e. LCM of 477,171 is 9063.

GCF of Denominators means GCF of 71,4945 as per the given fractions.

GCF of 71,4945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 477,171

LCM of Fractions 477/71,171/4945 is 9063

3 477, 171
3 159, 57
53, 19

∴ So the LCM of the given numbers is 3 x 3 x 53 x 19 = 9063

Least Common Multiple of 477,171 with GCF Formula

Least Common Multiple of 477,171 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 477,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,171) = 9

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

GCF(477,171) x common factors =9 x 1 = 9

LCM(477,171) = ( 477 × 171 ) / 9

LCM(477,171) = 81567 / 9

LCM(477,171) = 9063


Lets's calculate GCF of 71,4945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9063/1

Therefore the LCM of Fractions 477/71,171/4945 is 9063

Greatest Common Factor of 71,4945 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,4945 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 4945

List of positive integer factors of 4945 that divides 4945 without a remainder.

1,5,23,43,115,215,989,4945

Greatest Common Factor

We found the factors 71,4945 . The biggest common factor number is the GCF number.
So the greatest common factor 71,4945 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 477/71, 171/4945

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 477/71, 171/4945?

Answer: LCM of Numerators as per given numbers 477/71, 171/4945 is

LCM of Numerators i.e. for 477,171 is 9063

GCF of denominators i.e. for 71,4945 is 1.

Thus, LCM of Fractions is 9063.Finally, LCM of Fractions for 477/71, 171/4945 is 9063.