Least Common Multiple of 14/903, 7728/3740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 14/903, 7728/3740 quickly i.e. 7728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/903, 7728/3740 is 7728.

LCM(14/903, 7728/3740) = 7728

LCM of 14/903, 7728/3740

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 14/903,7728/3740

Given numbers are 14/903,7728/3740

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 14,7728

Least Common Multiple of Numerators i.e. LCM of 14,7728 is 7728.

GCF of Denominators means GCF of 903,3740 as per the given fractions.

GCF of 903,3740 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,7728

LCM of Fractions 14/903,7728/3740 is 7728

2 14, 7728
7 7, 3864
1, 552

∴ So the LCM of the given numbers is 2 x 7 x 1 x 552 = 7728

Least Common Multiple of 14,7728 with GCF Formula

Least Common Multiple of 14,7728 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 14,7728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,7728) = 14

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

GCF(14,7728) x common factors =14 x 1 = 14

LCM(14,7728) = ( 14 × 7728 ) / 14

LCM(14,7728) = 108192 / 14

LCM(14,7728) = 7728


Lets's calculate GCF of 903,3740

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7728/1

Therefore the LCM of Fractions 14/903,7728/3740 is 7728

Greatest Common Factor of 903,3740 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,3740 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 3740

List of positive integer factors of 3740 that divides 3740 without a remainder.

1,2,4,5,10,11,17,20,22,34,44,55,68,85,110,170,187,220,340,374,748,935,1870,3740

Greatest Common Factor

We found the factors 903,3740 . The biggest common factor number is the GCF number.
So the greatest common factor 903,3740 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 14/903, 7728/3740

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 14/903, 7728/3740?

Answer: LCM of Numerators as per given numbers 14/903, 7728/3740 is

LCM of Numerators i.e. for 14,7728 is 7728

GCF of denominators i.e. for 903,3740 is 1.

Thus, LCM of Fractions is 7728.Finally, LCM of Fractions for 14/903, 7728/3740 is 7728.