Least Common Multiple of 3903/976, 7545/1497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3903/976, 7545/1497 quickly i.e. 9816045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3903/976, 7545/1497 is 9816045.

LCM(3903/976, 7545/1497) = 9816045

LCM of 3903/976, 7545/1497

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 3903/976,7545/1497

Given numbers are 3903/976,7545/1497

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 3903,7545

Least Common Multiple of Numerators i.e. LCM of 3903,7545 is 9816045.

GCF of Denominators means GCF of 976,1497 as per the given fractions.

GCF of 976,1497 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3903,7545

LCM of Fractions 3903/976,7545/1497 is 9816045

3 3903, 7545
1301, 2515

∴ So the LCM of the given numbers is 3 x 1301 x 2515 = 9816045

Least Common Multiple of 3903,7545 with GCF Formula

Least Common Multiple of 3903,7545 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 3903,7545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3903,7545) = 3

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

GCF(3903,7545) x common factors =3 x 1 = 3

LCM(3903,7545) = ( 3903 × 7545 ) / 3

LCM(3903,7545) = 29448135 / 3

LCM(3903,7545) = 9816045


Lets's calculate GCF of 976,1497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9816045/1

Therefore the LCM of Fractions 3903/976,7545/1497 is 9816045

Greatest Common Factor of 976,1497 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,1497 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 1497

List of positive integer factors of 1497 that divides 1497 without a remainder.

1,3,499,1497

Greatest Common Factor

We found the factors 976,1497 . The biggest common factor number is the GCF number.
So the greatest common factor 976,1497 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3903/976, 7545/1497

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 3903/976, 7545/1497?

Answer: LCM of Numerators as per given numbers 3903/976, 7545/1497 is

LCM of Numerators i.e. for 3903,7545 is 9816045

GCF of denominators i.e. for 976,1497 is 1.

Thus, LCM of Fractions is 9816045.Finally, LCM of Fractions for 3903/976, 7545/1497 is 9816045.