Least Common Multiple of 2208/958, 8405/3282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2208/958, 8405/3282 quickly i.e. 9279120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2208/958, 8405/3282 is 9279120.

LCM(2208/958, 8405/3282) = 9279120

LCM of 2208/958, 8405/3282

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 2208/958,8405/3282

Given numbers are 2208/958,8405/3282

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 2208,8405

Least Common Multiple of Numerators i.e. LCM of 2208,8405 is 18558240.

GCF of Denominators means GCF of 958,3282 as per the given fractions.

GCF of 958,3282 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2208,8405

LCM of Fractions 2208/958,8405/3282 is 9279120

Given numbers has no common factors except 1. So, there LCM is their product i.e 18558240

Least Common Multiple of 2208,8405 with GCF Formula

Least Common Multiple of 2208,8405 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 2208,8405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2208,8405) = 1

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

GCF(2208,8405) x common factors =1 x 1 = 1

LCM(2208,8405) = ( 2208 × 8405 ) / 1

LCM(2208,8405) = 18558240 / 1

LCM(2208,8405) = 18558240


Lets's calculate GCF of 958,3282

2 958, 3282
479, 1641

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18558240/2

Therefore the LCM of Fractions 2208/958,8405/3282 is 9279120

Greatest Common Factor of 958,3282 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,3282 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 3282

List of positive integer factors of 3282 that divides 3282 without a remainder.

1,2,3,6,547,1094,1641,3282

Greatest Common Factor

We found the factors 958,3282 . The biggest common factor number is the GCF number.
So the greatest common factor 958,3282 is 2.


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 2208/958, 8405/3282

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 2208/958, 8405/3282?

Answer: LCM of Numerators as per given numbers 2208/958, 8405/3282 is

LCM of Numerators i.e. for 2208,8405 is 18558240

GCF of denominators i.e. for 958,3282 is 2.

Thus, LCM of Fractions is 9279120.Finally, LCM of Fractions for 2208/958, 8405/3282 is 9279120.