Least Common Multiple of 33/375, 2994/1720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/375, 2994/1720 quickly i.e. 32934/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/375, 2994/1720 is 32934/5.

LCM(33/375, 2994/1720) = 32934/5

LCM of 33/375, 2994/1720

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 33/375,2994/1720

Given numbers are 33/375,2994/1720

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 33,2994

Least Common Multiple of Numerators i.e. LCM of 33,2994 is 32934.

GCF of Denominators means GCF of 375,1720 as per the given fractions.

GCF of 375,1720 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,2994

LCM of Fractions 33/375,2994/1720 is 32934/5

3 33, 2994
11, 998

∴ So the LCM of the given numbers is 3 x 11 x 998 = 32934

Least Common Multiple of 33,2994 with GCF Formula

Least Common Multiple of 33,2994 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 33,2994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,2994) = 3

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

GCF(33,2994) x common factors =3 x 1 = 3

LCM(33,2994) = ( 33 × 2994 ) / 3

LCM(33,2994) = 98802 / 3

LCM(33,2994) = 32934


Lets's calculate GCF of 375,1720

5 375, 1720
75, 344

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32934/5

Therefore the LCM of Fractions 33/375,2994/1720 is 32934/5

Greatest Common Factor of 375,1720 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,1720 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 1720

List of positive integer factors of 1720 that divides 1720 without a remainder.

1,2,4,5,8,10,20,40,43,86,172,215,344,430,860,1720

Greatest Common Factor

We found the factors 375,1720 . The biggest common factor number is the GCF number.
So the greatest common factor 375,1720 is 5.


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 33/375, 2994/1720

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 33/375, 2994/1720?

Answer: LCM of Numerators as per given numbers 33/375, 2994/1720 is

LCM of Numerators i.e. for 33,2994 is 32934

GCF of denominators i.e. for 375,1720 is 5.

Thus, LCM of Fractions is 32934/5.Finally, LCM of Fractions for 33/375, 2994/1720 is 32934/5.