Least Common Multiple of 285/819, 741/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 285/819, 741/882 quickly i.e. 3705/63 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 285/819, 741/882 is 3705/63.

LCM(285/819, 741/882) = 3705/63

LCM of 285/819, 741/882

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 285/819,741/882

Given numbers are 285/819,741/882

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 285,741

Least Common Multiple of Numerators i.e. LCM of 285,741 is 3705.

GCF of Denominators means GCF of 819,882 as per the given fractions.

GCF of 819,882 is 63 as it is the largest common factor for these numbers.

Lets's calculate LCM of 285,741

LCM of Fractions 285/819,741/882 is 3705/63

3 285, 741
19 95, 247
5, 13

∴ So the LCM of the given numbers is 3 x 19 x 5 x 13 = 3705

Least Common Multiple of 285,741 with GCF Formula

Least Common Multiple of 285,741 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 285,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,741) = 57

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

GCF(285,741) x common factors =57 x 1 = 57

LCM(285,741) = ( 285 × 741 ) / 57

LCM(285,741) = 211185 / 57

LCM(285,741) = 3705


Lets's calculate GCF of 819,882

3 819, 882
3 273, 294
7 91, 98
13, 14

∴ So the GCF of the given numbers is 3 x 3 x 7 = 63

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3705/63

Therefore the LCM of Fractions 285/819,741/882 is 3705/63

Greatest Common Factor of 819,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,882 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 819,882 . The biggest common factor number is the GCF number.
So the greatest common factor 819,882 is 63.


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 285/819, 741/882

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 285/819, 741/882?

Answer: LCM of Numerators as per given numbers 285/819, 741/882 is

LCM of Numerators i.e. for 285,741 is 3705

GCF of denominators i.e. for 819,882 is 63.

Thus, LCM of Fractions is 3705/63.Finally, LCM of Fractions for 285/819, 741/882 is 3705/63.