Least Common Multiple of 4771/471, 1741/9532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4771/471, 1741/9532 quickly i.e. 8306311 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4771/471, 1741/9532 is 8306311.

LCM(4771/471, 1741/9532) = 8306311

LCM of 4771/471, 1741/9532

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 4771/471,1741/9532

Given numbers are 4771/471,1741/9532

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 4771,1741

Least Common Multiple of Numerators i.e. LCM of 4771,1741 is 8306311.

GCF of Denominators means GCF of 471,9532 as per the given fractions.

GCF of 471,9532 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4771,1741

LCM of Fractions 4771/471,1741/9532 is 8306311

Given numbers has no common factors except 1. So, there LCM is their product i.e 8306311

Least Common Multiple of 4771,1741 with GCF Formula

Least Common Multiple of 4771,1741 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 4771,1741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4771,1741) = 1

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

GCF(4771,1741) x common factors =1 x 1 = 1

LCM(4771,1741) = ( 4771 × 1741 ) / 1

LCM(4771,1741) = 8306311 / 1

LCM(4771,1741) = 8306311


Lets's calculate GCF of 471,9532

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8306311/1

Therefore the LCM of Fractions 4771/471,1741/9532 is 8306311

Greatest Common Factor of 471,9532 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,9532 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 9532

List of positive integer factors of 9532 that divides 9532 without a remainder.

1,2,4,2383,4766,9532

Greatest Common Factor

We found the factors 471,9532 . The biggest common factor number is the GCF number.
So the greatest common factor 471,9532 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4771/471, 1741/9532

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 4771/471, 1741/9532?

Answer: LCM of Numerators as per given numbers 4771/471, 1741/9532 is

LCM of Numerators i.e. for 4771,1741 is 8306311

GCF of denominators i.e. for 471,9532 is 1.

Thus, LCM of Fractions is 8306311.Finally, LCM of Fractions for 4771/471, 1741/9532 is 8306311.