Least Common Multiple of 9405/981, 7389/8817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9405/981, 7389/8817 quickly i.e. 2573835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9405/981, 7389/8817 is 2573835.

LCM(9405/981, 7389/8817) = 2573835

LCM of 9405/981, 7389/8817

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 9405/981,7389/8817

Given numbers are 9405/981,7389/8817

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 9405,7389

Least Common Multiple of Numerators i.e. LCM of 9405,7389 is 7721505.

GCF of Denominators means GCF of 981,8817 as per the given fractions.

GCF of 981,8817 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9405,7389

LCM of Fractions 9405/981,7389/8817 is 2573835

3 9405, 7389
3 3135, 2463
1045, 821

∴ So the LCM of the given numbers is 3 x 3 x 1045 x 821 = 7721505

Least Common Multiple of 9405,7389 with GCF Formula

Least Common Multiple of 9405,7389 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 9405,7389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9405,7389) = 9

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

GCF(9405,7389) x common factors =9 x 1 = 9

LCM(9405,7389) = ( 9405 × 7389 ) / 9

LCM(9405,7389) = 69493545 / 9

LCM(9405,7389) = 7721505


Lets's calculate GCF of 981,8817

3 981, 8817
327, 2939

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7721505/3

Therefore the LCM of Fractions 9405/981,7389/8817 is 2573835

Greatest Common Factor of 981,8817 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,8817 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 8817

List of positive integer factors of 8817 that divides 8817 without a remainder.

1,3,2939,8817

Greatest Common Factor

We found the factors 981,8817 . The biggest common factor number is the GCF number.
So the greatest common factor 981,8817 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 9405/981, 7389/8817

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 9405/981, 7389/8817?

Answer: LCM of Numerators as per given numbers 9405/981, 7389/8817 is

LCM of Numerators i.e. for 9405,7389 is 7721505

GCF of denominators i.e. for 981,8817 is 3.

Thus, LCM of Fractions is 2573835.Finally, LCM of Fractions for 9405/981, 7389/8817 is 2573835.