Least Common Multiple of 721/960, 3731/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 721/960, 3731/333 quickly i.e. 384293/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 721/960, 3731/333 is 384293/3.

LCM(721/960, 3731/333) = 384293/3

LCM of 721/960, 3731/333

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 721/960,3731/333

Given numbers are 721/960,3731/333

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 721,3731

Least Common Multiple of Numerators i.e. LCM of 721,3731 is 384293.

GCF of Denominators means GCF of 960,333 as per the given fractions.

GCF of 960,333 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 721,3731

LCM of Fractions 721/960,3731/333 is 384293/3

7 721, 3731
103, 533

∴ So the LCM of the given numbers is 7 x 103 x 533 = 384293

Least Common Multiple of 721,3731 with GCF Formula

Least Common Multiple of 721,3731 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 721,3731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,3731) = 7

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

GCF(721,3731) x common factors =7 x 1 = 7

LCM(721,3731) = ( 721 × 3731 ) / 7

LCM(721,3731) = 2690051 / 7

LCM(721,3731) = 384293


Lets's calculate GCF of 960,333

3 960, 333
320, 111

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 384293/3

Therefore the LCM of Fractions 721/960,3731/333 is 384293/3

Greatest Common Factor of 960,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,333 By Matching Biggest Common Factor Method

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

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 960,333 . The biggest common factor number is the GCF number.
So the greatest common factor 960,333 is 3.


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 721/960, 3731/333

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 721/960, 3731/333?

Answer: LCM of Numerators as per given numbers 721/960, 3731/333 is

LCM of Numerators i.e. for 721,3731 is 384293

GCF of denominators i.e. for 960,333 is 3.

Thus, LCM of Fractions is 384293/3.Finally, LCM of Fractions for 721/960, 3731/333 is 384293/3.