Least Common Multiple of 33/466, 1771/7996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/466, 1771/7996 quickly i.e. 5313/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/466, 1771/7996 is 5313/2.

LCM(33/466, 1771/7996) = 5313/2

LCM of 33/466, 1771/7996

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 33/466,1771/7996

Given numbers are 33/466,1771/7996

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 33,1771

Least Common Multiple of Numerators i.e. LCM of 33,1771 is 5313.

GCF of Denominators means GCF of 466,7996 as per the given fractions.

GCF of 466,7996 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,1771

LCM of Fractions 33/466,1771/7996 is 5313/2

11 33, 1771
3, 161

∴ So the LCM of the given numbers is 11 x 3 x 161 = 5313

Least Common Multiple of 33,1771 with GCF Formula

Least Common Multiple of 33,1771 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 33,1771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,1771) = 11

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

GCF(33,1771) x common factors =11 x 1 = 11

LCM(33,1771) = ( 33 × 1771 ) / 11

LCM(33,1771) = 58443 / 11

LCM(33,1771) = 5313


Lets's calculate GCF of 466,7996

2 466, 7996
233, 3998

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5313/2

Therefore the LCM of Fractions 33/466,1771/7996 is 5313/2

Greatest Common Factor of 466,7996 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,7996 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 7996

List of positive integer factors of 7996 that divides 7996 without a remainder.

1,2,4,1999,3998,7996

Greatest Common Factor

We found the factors 466,7996 . The biggest common factor number is the GCF number.
So the greatest common factor 466,7996 is 2.


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 33/466, 1771/7996

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 33/466, 1771/7996?

Answer: LCM of Numerators as per given numbers 33/466, 1771/7996 is

LCM of Numerators i.e. for 33,1771 is 5313

GCF of denominators i.e. for 466,7996 is 2.

Thus, LCM of Fractions is 5313/2.Finally, LCM of Fractions for 33/466, 1771/7996 is 5313/2.