Least Common Multiple of 477/72, 120/3566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 477/72, 120/3566 quickly i.e. 9540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 477/72, 120/3566 is 9540.

LCM(477/72, 120/3566) = 9540

LCM of 477/72, 120/3566

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 477/72,120/3566

Given numbers are 477/72,120/3566

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 477,120

Least Common Multiple of Numerators i.e. LCM of 477,120 is 19080.

GCF of Denominators means GCF of 72,3566 as per the given fractions.

GCF of 72,3566 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 477,120

LCM of Fractions 477/72,120/3566 is 9540

3 477, 120
159, 40

∴ So the LCM of the given numbers is 3 x 159 x 40 = 19080

Least Common Multiple of 477,120 with GCF Formula

Least Common Multiple of 477,120 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 477,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,120) = 3

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

GCF(477,120) x common factors =3 x 1 = 3

LCM(477,120) = ( 477 × 120 ) / 3

LCM(477,120) = 57240 / 3

LCM(477,120) = 19080


Lets's calculate GCF of 72,3566

2 72, 3566
36, 1783

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19080/2

Therefore the LCM of Fractions 477/72,120/3566 is 9540

Greatest Common Factor of 72,3566 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,3566 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 3566

List of positive integer factors of 3566 that divides 3566 without a remainder.

1,2,1783,3566

Greatest Common Factor

We found the factors 72,3566 . The biggest common factor number is the GCF number.
So the greatest common factor 72,3566 is 2.


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 477/72, 120/3566

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 477/72, 120/3566?

Answer: LCM of Numerators as per given numbers 477/72, 120/3566 is

LCM of Numerators i.e. for 477,120 is 19080

GCF of denominators i.e. for 72,3566 is 2.

Thus, LCM of Fractions is 9540.Finally, LCM of Fractions for 477/72, 120/3566 is 9540.