Least Common Multiple of 9628/471, 4479/9420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9628/471, 4479/9420 quickly i.e. 43123812/471 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9628/471, 4479/9420 is 43123812/471.

LCM(9628/471, 4479/9420) = 43123812/471

LCM of 9628/471, 4479/9420

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 9628/471,4479/9420

Given numbers are 9628/471,4479/9420

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 9628,4479

Least Common Multiple of Numerators i.e. LCM of 9628,4479 is 43123812.

GCF of Denominators means GCF of 471,9420 as per the given fractions.

GCF of 471,9420 is 471 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9628,4479

LCM of Fractions 9628/471,4479/9420 is 43123812/471

Given numbers has no common factors except 1. So, there LCM is their product i.e 43123812

Least Common Multiple of 9628,4479 with GCF Formula

Least Common Multiple of 9628,4479 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 9628,4479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9628,4479) = 1

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

GCF(9628,4479) x common factors =1 x 1 = 1

LCM(9628,4479) = ( 9628 × 4479 ) / 1

LCM(9628,4479) = 43123812 / 1

LCM(9628,4479) = 43123812


Lets's calculate GCF of 471,9420

3 471, 9420
157 157, 3140
1, 20

∴ So the GCF of the given numbers is 3 x 157 = 471

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43123812/471

Therefore the LCM of Fractions 9628/471,4479/9420 is 43123812/471

Greatest Common Factor of 471,9420 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,9420 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 9420

List of positive integer factors of 9420 that divides 9420 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,157,314,471,628,785,942,1570,1884,2355,3140,4710,9420

Greatest Common Factor

We found the factors 471,9420 . The biggest common factor number is the GCF number.
So the greatest common factor 471,9420 is 471.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9628/471, 4479/9420

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 9628/471, 4479/9420?

Answer: LCM of Numerators as per given numbers 9628/471, 4479/9420 is

LCM of Numerators i.e. for 9628,4479 is 43123812

GCF of denominators i.e. for 471,9420 is 471.

Thus, LCM of Fractions is 43123812/471.Finally, LCM of Fractions for 9628/471, 4479/9420 is 43123812/471.