Least Common Multiple of 821/33, 722/76, 285/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/33, 722/76, 285/645 quickly i.e. 8891430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/33, 722/76, 285/645 is 8891430.

LCM(821/33, 722/76, 285/645) = 8891430

LCM of 821/33, 722/76, 285/645

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 821/33,722/76,285/645

Given numbers are 821/33,722/76,285/645

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 821,722,285

Least Common Multiple of Numerators i.e. LCM of 821,722,285 is 8891430.

GCF of Denominators means GCF of 33,76,645 as per the given fractions.

GCF of 33,76,645 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,722,285

LCM of Fractions 821/33,722/76,285/645 is 8891430

19 821, 722, 285
821, 38, 15

∴ So the LCM of the given numbers is 19 x 821 x 38 x 15 = 8891430

Least Common Multiple of 821,722,285 with GCF Formula

Least Common Multiple of 821,722,285 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 821,722,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,722,285) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(821,722,285) x common factors =1 x 19 = 19

LCM(821,722,285) = ( 821 × 722 × 285 ) / 19

LCM(821,722,285) = 168937170 / 19

LCM(821,722,285) = 8891430


Lets's calculate GCF of 33,76,645

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8891430/1

Therefore the LCM of Fractions 821/33,722/76,285/645 is 8891430

Greatest Common Factor of 33,76,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,76,645 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 33,76,645 . The biggest common factor number is the GCF number.
So the greatest common factor 33,76,645 is 1.


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 821/33, 722/76, 285/645

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 821/33, 722/76, 285/645?

Answer: LCM of Numerators as per given numbers 821/33, 722/76, 285/645 is

LCM of Numerators i.e. for 821,722,285 is 8891430

GCF of denominators i.e. for 33,76,645 is 1.

Thus, LCM of Fractions is 8891430.Finally, LCM of Fractions for 821/33, 722/76, 285/645 is 8891430.