Least Common Multiple of 33/329, 35/643, 160/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/329, 35/643, 160/860 quickly i.e. 36960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/329, 35/643, 160/860 is 36960.

LCM(33/329, 35/643, 160/860) = 36960

LCM of 33/329, 35/643, 160/860

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 33/329,35/643,160/860

Given numbers are 33/329,35/643,160/860

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 33,35,160

Least Common Multiple of Numerators i.e. LCM of 33,35,160 is 36960.

GCF of Denominators means GCF of 329,643,860 as per the given fractions.

GCF of 329,643,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,35,160

LCM of Fractions 33/329,35/643,160/860 is 36960

5 33, 35, 160
33, 7, 32

∴ So the LCM of the given numbers is 5 x 33 x 7 x 32 = 36960

Least Common Multiple of 33,35,160 with GCF Formula

Least Common Multiple of 33,35,160 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 33,35,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,35,160) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(33,35,160) x common factors =1 x 5 = 5

LCM(33,35,160) = ( 33 × 35 × 160 ) / 5

LCM(33,35,160) = 184800 / 5

LCM(33,35,160) = 36960


Lets's calculate GCF of 329,643,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36960/1

Therefore the LCM of Fractions 33/329,35/643,160/860 is 36960

Greatest Common Factor of 329,643,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,643,860 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 329,643,860 . The biggest common factor number is the GCF number.
So the greatest common factor 329,643,860 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 33/329, 35/643, 160/860

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 33/329, 35/643, 160/860?

Answer: LCM of Numerators as per given numbers 33/329, 35/643, 160/860 is

LCM of Numerators i.e. for 33,35,160 is 36960

GCF of denominators i.e. for 329,643,860 is 1.

Thus, LCM of Fractions is 36960.Finally, LCM of Fractions for 33/329, 35/643, 160/860 is 36960.