Least Common Multiple of 477/10, 582/3372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 477/10, 582/3372 quickly i.e. 46269 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 477/10, 582/3372 is 46269.

LCM(477/10, 582/3372) = 46269

LCM of 477/10, 582/3372

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 477/10,582/3372

Given numbers are 477/10,582/3372

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 477,582

Least Common Multiple of Numerators i.e. LCM of 477,582 is 92538.

GCF of Denominators means GCF of 10,3372 as per the given fractions.

GCF of 10,3372 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 477,582

LCM of Fractions 477/10,582/3372 is 46269

3 477, 582
159, 194

∴ So the LCM of the given numbers is 3 x 159 x 194 = 92538

Least Common Multiple of 477,582 with GCF Formula

Least Common Multiple of 477,582 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 477,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,582) = 3

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

GCF(477,582) x common factors =3 x 1 = 3

LCM(477,582) = ( 477 × 582 ) / 3

LCM(477,582) = 277614 / 3

LCM(477,582) = 92538


Lets's calculate GCF of 10,3372

2 10, 3372
5, 1686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92538/2

Therefore the LCM of Fractions 477/10,582/3372 is 46269

Greatest Common Factor of 10,3372 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,3372 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 3372

List of positive integer factors of 3372 that divides 3372 without a remainder.

1,2,3,4,6,12,281,562,843,1124,1686,3372

Greatest Common Factor

We found the factors 10,3372 . The biggest common factor number is the GCF number.
So the greatest common factor 10,3372 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 477/10, 582/3372

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 477/10, 582/3372?

Answer: LCM of Numerators as per given numbers 477/10, 582/3372 is

LCM of Numerators i.e. for 477,582 is 92538

GCF of denominators i.e. for 10,3372 is 2.

Thus, LCM of Fractions is 46269.Finally, LCM of Fractions for 477/10, 582/3372 is 46269.