Least Common Multiple of 43/109, 4008/5014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/109, 4008/5014 quickly i.e. 172344/109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/109, 4008/5014 is 172344/109.

LCM(43/109, 4008/5014) = 172344/109

LCM of 43/109, 4008/5014

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 43/109,4008/5014

Given numbers are 43/109,4008/5014

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 43,4008

Least Common Multiple of Numerators i.e. LCM of 43,4008 is 172344.

GCF of Denominators means GCF of 109,5014 as per the given fractions.

GCF of 109,5014 is 109 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,4008

LCM of Fractions 43/109,4008/5014 is 172344/109

Given numbers has no common factors except 1. So, there LCM is their product i.e 172344

Least Common Multiple of 43,4008 with GCF Formula

Least Common Multiple of 43,4008 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 43,4008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,4008) = 1

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

GCF(43,4008) x common factors =1 x 1 = 1

LCM(43,4008) = ( 43 × 4008 ) / 1

LCM(43,4008) = 172344 / 1

LCM(43,4008) = 172344


Lets's calculate GCF of 109,5014

109 109, 5014
1, 46

∴ So the GCF of the given numbers is 109 = 109

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172344/109

Therefore the LCM of Fractions 43/109,4008/5014 is 172344/109

Greatest Common Factor of 109,5014 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,5014 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 5014

List of positive integer factors of 5014 that divides 5014 without a remainder.

1,2,23,46,109,218,2507,5014

Greatest Common Factor

We found the factors 109,5014 . The biggest common factor number is the GCF number.
So the greatest common factor 109,5014 is 109.


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 43/109, 4008/5014

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 43/109, 4008/5014?

Answer: LCM of Numerators as per given numbers 43/109, 4008/5014 is

LCM of Numerators i.e. for 43,4008 is 172344

GCF of denominators i.e. for 109,5014 is 109.

Thus, LCM of Fractions is 172344/109.Finally, LCM of Fractions for 43/109, 4008/5014 is 172344/109.