Least Common Multiple of 15/477, 858/669, 215/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/477, 858/669, 215/546 quickly i.e. 61490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/477, 858/669, 215/546 is 61490.

LCM(15/477, 858/669, 215/546) = 61490

LCM of 15/477, 858/669, 215/546

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 15/477,858/669,215/546

Given numbers are 15/477,858/669,215/546

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 15,858,215

Least Common Multiple of Numerators i.e. LCM of 15,858,215 is 184470.

GCF of Denominators means GCF of 477,669,546 as per the given fractions.

GCF of 477,669,546 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,858,215

LCM of Fractions 15/477,858/669,215/546 is 61490

3 15, 858, 215
5 5, 286, 215
1, 286, 43

∴ So the LCM of the given numbers is 3 x 5 x 1 x 286 x 43 = 184470

Least Common Multiple of 15,858,215 with GCF Formula

Least Common Multiple of 15,858,215 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 15,858,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,858,215) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(15,858,215) x common factors =1 x 15 = 15

LCM(15,858,215) = ( 15 × 858 × 215 ) / 15

LCM(15,858,215) = 2767050 / 15

LCM(15,858,215) = 184470


Lets's calculate GCF of 477,669,546

3 477, 669, 546
159, 223, 182

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184470/3

Therefore the LCM of Fractions 15/477,858/669,215/546 is 61490

Greatest Common Factor of 477,669,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,669,546 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 477,669,546 . The biggest common factor number is the GCF number.
So the greatest common factor 477,669,546 is 3.


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 15/477, 858/669, 215/546

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 15/477, 858/669, 215/546?

Answer: LCM of Numerators as per given numbers 15/477, 858/669, 215/546 is

LCM of Numerators i.e. for 15,858,215 is 184470

GCF of denominators i.e. for 477,669,546 is 3.

Thus, LCM of Fractions is 61490.Finally, LCM of Fractions for 15/477, 858/669, 215/546 is 61490.