Least Common Multiple of 9540/103, 3009/8524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9540/103, 3009/8524 quickly i.e. 9568620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9540/103, 3009/8524 is 9568620.

LCM(9540/103, 3009/8524) = 9568620

LCM of 9540/103, 3009/8524

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 9540/103,3009/8524

Given numbers are 9540/103,3009/8524

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 9540,3009

Least Common Multiple of Numerators i.e. LCM of 9540,3009 is 9568620.

GCF of Denominators means GCF of 103,8524 as per the given fractions.

GCF of 103,8524 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9540,3009

LCM of Fractions 9540/103,3009/8524 is 9568620

3 9540, 3009
3180, 1003

∴ So the LCM of the given numbers is 3 x 3180 x 1003 = 9568620

Least Common Multiple of 9540,3009 with GCF Formula

Least Common Multiple of 9540,3009 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 9540,3009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9540,3009) = 3

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

GCF(9540,3009) x common factors =3 x 1 = 3

LCM(9540,3009) = ( 9540 × 3009 ) / 3

LCM(9540,3009) = 28705860 / 3

LCM(9540,3009) = 9568620


Lets's calculate GCF of 103,8524

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9568620/1

Therefore the LCM of Fractions 9540/103,3009/8524 is 9568620

Greatest Common Factor of 103,8524 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,8524 By Matching Biggest Common Factor Method

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 8524

List of positive integer factors of 8524 that divides 8524 without a remainder.

1,2,4,2131,4262,8524

Greatest Common Factor

We found the factors 103,8524 . The biggest common factor number is the GCF number.
So the greatest common factor 103,8524 is 1.


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 9540/103, 3009/8524

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 9540/103, 3009/8524?

Answer: LCM of Numerators as per given numbers 9540/103, 3009/8524 is

LCM of Numerators i.e. for 9540,3009 is 9568620

GCF of denominators i.e. for 103,8524 is 1.

Thus, LCM of Fractions is 9568620.Finally, LCM of Fractions for 9540/103, 3009/8524 is 9568620.