Least Common Multiple of 335/32, 110/19, 888/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 335/32, 110/19, 888/960 quickly i.e. 3272280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 335/32, 110/19, 888/960 is 3272280.

LCM(335/32, 110/19, 888/960) = 3272280

LCM of 335/32, 110/19, 888/960

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 335/32,110/19,888/960

Given numbers are 335/32,110/19,888/960

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 335,110,888

Least Common Multiple of Numerators i.e. LCM of 335,110,888 is 3272280.

GCF of Denominators means GCF of 32,19,960 as per the given fractions.

GCF of 32,19,960 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 335,110,888

LCM of Fractions 335/32,110/19,888/960 is 3272280

2 335, 110, 888
5 335, 55, 444
67, 11, 444

∴ So the LCM of the given numbers is 2 x 5 x 67 x 11 x 444 = 3272280

Least Common Multiple of 335,110,888 with GCF Formula

Least Common Multiple of 335,110,888 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 335,110,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,110,888) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(335,110,888) x common factors =1 x 10 = 10

LCM(335,110,888) = ( 335 × 110 × 888 ) / 10

LCM(335,110,888) = 32722800 / 10

LCM(335,110,888) = 3272280


Lets's calculate GCF of 32,19,960

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3272280/1

Therefore the LCM of Fractions 335/32,110/19,888/960 is 3272280

Greatest Common Factor of 32,19,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,19,960 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 32,19,960 . The biggest common factor number is the GCF number.
So the greatest common factor 32,19,960 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 335/32, 110/19, 888/960

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 335/32, 110/19, 888/960?

Answer: LCM of Numerators as per given numbers 335/32, 110/19, 888/960 is

LCM of Numerators i.e. for 335,110,888 is 3272280

GCF of denominators i.e. for 32,19,960 is 1.

Thus, LCM of Fractions is 3272280.Finally, LCM of Fractions for 335/32, 110/19, 888/960 is 3272280.