Least Common Multiple of 9234/406, 4007/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9234/406, 4007/242 quickly i.e. 18500319 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9234/406, 4007/242 is 18500319.

LCM(9234/406, 4007/242) = 18500319

LCM of 9234/406, 4007/242

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 9234/406,4007/242

Given numbers are 9234/406,4007/242

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 9234,4007

Least Common Multiple of Numerators i.e. LCM of 9234,4007 is 37000638.

GCF of Denominators means GCF of 406,242 as per the given fractions.

GCF of 406,242 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9234,4007

LCM of Fractions 9234/406,4007/242 is 18500319

Given numbers has no common factors except 1. So, there LCM is their product i.e 37000638

Least Common Multiple of 9234,4007 with GCF Formula

Least Common Multiple of 9234,4007 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 9234,4007 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9234,4007) = 1

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

GCF(9234,4007) x common factors =1 x 1 = 1

LCM(9234,4007) = ( 9234 × 4007 ) / 1

LCM(9234,4007) = 37000638 / 1

LCM(9234,4007) = 37000638


Lets's calculate GCF of 406,242

2 406, 242
203, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37000638/2

Therefore the LCM of Fractions 9234/406,4007/242 is 18500319

Greatest Common Factor of 406,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,242 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 242

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

1,2,11,22,121,242

Greatest Common Factor

We found the factors 406,242 . The biggest common factor number is the GCF number.
So the greatest common factor 406,242 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 9234/406, 4007/242

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 9234/406, 4007/242?

Answer: LCM of Numerators as per given numbers 9234/406, 4007/242 is

LCM of Numerators i.e. for 9234,4007 is 37000638

GCF of denominators i.e. for 406,242 is 2.

Thus, LCM of Fractions is 18500319.Finally, LCM of Fractions for 9234/406, 4007/242 is 18500319.