Least Common Multiple of 608/33, 370/73, 821/11

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 608/33, 370/73, 821/11 quickly i.e. 92346080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 608/33, 370/73, 821/11 is 92346080.

LCM(608/33, 370/73, 821/11) = 92346080

LCM of 608/33, 370/73, 821/11

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 608/33,370/73,821/11

Given numbers are 608/33,370/73,821/11

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 608,370,821

Least Common Multiple of Numerators i.e. LCM of 608,370,821 is 92346080.

GCF of Denominators means GCF of 33,73,11 as per the given fractions.

GCF of 33,73,11 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 608,370,821

LCM of Fractions 608/33,370/73,821/11 is 92346080

2 608, 370, 821
304, 185, 821

∴ So the LCM of the given numbers is 2 x 304 x 185 x 821 = 92346080

Least Common Multiple of 608,370,821 with GCF Formula

Least Common Multiple of 608,370,821 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 608,370,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,370,821) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(608,370,821) x common factors =1 x 2 = 2

LCM(608,370,821) = ( 608 × 370 × 821 ) / 2

LCM(608,370,821) = 184692160 / 2

LCM(608,370,821) = 92346080


Lets's calculate GCF of 33,73,11

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92346080/1

Therefore the LCM of Fractions 608/33,370/73,821/11 is 92346080

Greatest Common Factor of 33,73,11 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,73,11 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 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Greatest Common Factor

We found the factors 33,73,11 . The biggest common factor number is the GCF number.
So the greatest common factor 33,73,11 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 608/33, 370/73, 821/11

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 608/33, 370/73, 821/11?

Answer: LCM of Numerators as per given numbers 608/33, 370/73, 821/11 is

LCM of Numerators i.e. for 608,370,821 is 92346080

GCF of denominators i.e. for 33,73,11 is 1.

Thus, LCM of Fractions is 92346080.Finally, LCM of Fractions for 608/33, 370/73, 821/11 is 92346080.