Least Common Multiple of 477/15, 133/90, 546/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 477/15, 133/90, 546/675 quickly i.e. 1649466/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 477/15, 133/90, 546/675 is 1649466/15.

LCM(477/15, 133/90, 546/675) = 1649466/15

LCM of 477/15, 133/90, 546/675

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 477/15,133/90,546/675

Given numbers are 477/15,133/90,546/675

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 477,133,546

Least Common Multiple of Numerators i.e. LCM of 477,133,546 is 1649466.

GCF of Denominators means GCF of 15,90,675 as per the given fractions.

GCF of 15,90,675 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 477,133,546

LCM of Fractions 477/15,133/90,546/675 is 1649466/15

3 477, 133, 546
7 159, 133, 182
159, 19, 26

∴ So the LCM of the given numbers is 3 x 7 x 159 x 19 x 26 = 1649466

Least Common Multiple of 477,133,546 with GCF Formula

Least Common Multiple of 477,133,546 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 477,133,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,133,546) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(477,133,546) x common factors =1 x 21 = 21

LCM(477,133,546) = ( 477 × 133 × 546 ) / 21

LCM(477,133,546) = 34638786 / 21

LCM(477,133,546) = 1649466


Lets's calculate GCF of 15,90,675

3 15, 90, 675
5 5, 30, 225
1, 6, 45

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1649466/15

Therefore the LCM of Fractions 477/15,133/90,546/675 is 1649466/15

Greatest Common Factor of 15,90,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,90,675 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 15,90,675 . The biggest common factor number is the GCF number.
So the greatest common factor 15,90,675 is 15.


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 477/15, 133/90, 546/675

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 477/15, 133/90, 546/675?

Answer: LCM of Numerators as per given numbers 477/15, 133/90, 546/675 is

LCM of Numerators i.e. for 477,133,546 is 1649466

GCF of denominators i.e. for 15,90,675 is 15.

Thus, LCM of Fractions is 1649466/15.Finally, LCM of Fractions for 477/15, 133/90, 546/675 is 1649466/15.