Least Common Multiple of 9245/242, 4008/8384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9245/242, 4008/8384 quickly i.e. 18526980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9245/242, 4008/8384 is 18526980.

LCM(9245/242, 4008/8384) = 18526980

LCM of 9245/242, 4008/8384

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 9245/242,4008/8384

Given numbers are 9245/242,4008/8384

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 9245,4008

Least Common Multiple of Numerators i.e. LCM of 9245,4008 is 37053960.

GCF of Denominators means GCF of 242,8384 as per the given fractions.

GCF of 242,8384 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9245,4008

LCM of Fractions 9245/242,4008/8384 is 18526980

Given numbers has no common factors except 1. So, there LCM is their product i.e 37053960

Least Common Multiple of 9245,4008 with GCF Formula

Least Common Multiple of 9245,4008 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 9245,4008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9245,4008) = 1

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

GCF(9245,4008) x common factors =1 x 1 = 1

LCM(9245,4008) = ( 9245 × 4008 ) / 1

LCM(9245,4008) = 37053960 / 1

LCM(9245,4008) = 37053960


Lets's calculate GCF of 242,8384

2 242, 8384
121, 4192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37053960/2

Therefore the LCM of Fractions 9245/242,4008/8384 is 18526980

Greatest Common Factor of 242,8384 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,8384 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 8384

List of positive integer factors of 8384 that divides 8384 without a remainder.

1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384

Greatest Common Factor

We found the factors 242,8384 . The biggest common factor number is the GCF number.
So the greatest common factor 242,8384 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 9245/242, 4008/8384

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 9245/242, 4008/8384?

Answer: LCM of Numerators as per given numbers 9245/242, 4008/8384 is

LCM of Numerators i.e. for 9245,4008 is 37053960

GCF of denominators i.e. for 242,8384 is 2.

Thus, LCM of Fractions is 18526980.Finally, LCM of Fractions for 9245/242, 4008/8384 is 18526980.