Least Common Multiple of 503/981, 7389/3105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 503/981, 7389/3105 quickly i.e. 412963 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 503/981, 7389/3105 is 412963.

LCM(503/981, 7389/3105) = 412963

LCM of 503/981, 7389/3105

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 503/981,7389/3105

Given numbers are 503/981,7389/3105

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 503,7389

Least Common Multiple of Numerators i.e. LCM of 503,7389 is 3716667.

GCF of Denominators means GCF of 981,3105 as per the given fractions.

GCF of 981,3105 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 503,7389

LCM of Fractions 503/981,7389/3105 is 412963

Given numbers has no common factors except 1. So, there LCM is their product i.e 3716667

Least Common Multiple of 503,7389 with GCF Formula

Least Common Multiple of 503,7389 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 503,7389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,7389) = 1

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

GCF(503,7389) x common factors =1 x 1 = 1

LCM(503,7389) = ( 503 × 7389 ) / 1

LCM(503,7389) = 3716667 / 1

LCM(503,7389) = 3716667


Lets's calculate GCF of 981,3105

3 981, 3105
3 327, 1035
109, 345

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3716667/9

Therefore the LCM of Fractions 503/981,7389/3105 is 412963

Greatest Common Factor of 981,3105 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,3105 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 3105

List of positive integer factors of 3105 that divides 3105 without a remainder.

1,3,5,9,15,23,27,45,69,115,135,207,345,621,1035,3105

Greatest Common Factor

We found the factors 981,3105 . The biggest common factor number is the GCF number.
So the greatest common factor 981,3105 is 9.


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 503/981, 7389/3105

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 503/981, 7389/3105?

Answer: LCM of Numerators as per given numbers 503/981, 7389/3105 is

LCM of Numerators i.e. for 503,7389 is 3716667

GCF of denominators i.e. for 981,3105 is 9.

Thus, LCM of Fractions is 412963.Finally, LCM of Fractions for 503/981, 7389/3105 is 412963.