Least Common Multiple of 4309/734, 1938/4718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4309/734, 1938/4718 quickly i.e. 4175421 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4309/734, 1938/4718 is 4175421.

LCM(4309/734, 1938/4718) = 4175421

LCM of 4309/734, 1938/4718

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 4309/734,1938/4718

Given numbers are 4309/734,1938/4718

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 4309,1938

Least Common Multiple of Numerators i.e. LCM of 4309,1938 is 8350842.

GCF of Denominators means GCF of 734,4718 as per the given fractions.

GCF of 734,4718 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4309,1938

LCM of Fractions 4309/734,1938/4718 is 4175421

Given numbers has no common factors except 1. So, there LCM is their product i.e 8350842

Least Common Multiple of 4309,1938 with GCF Formula

Least Common Multiple of 4309,1938 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 4309,1938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4309,1938) = 1

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

GCF(4309,1938) x common factors =1 x 1 = 1

LCM(4309,1938) = ( 4309 × 1938 ) / 1

LCM(4309,1938) = 8350842 / 1

LCM(4309,1938) = 8350842


Lets's calculate GCF of 734,4718

2 734, 4718
367, 2359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8350842/2

Therefore the LCM of Fractions 4309/734,1938/4718 is 4175421

Greatest Common Factor of 734,4718 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,4718 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 4718

List of positive integer factors of 4718 that divides 4718 without a remainder.

1,2,7,14,337,674,2359,4718

Greatest Common Factor

We found the factors 734,4718 . The biggest common factor number is the GCF number.
So the greatest common factor 734,4718 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 4309/734, 1938/4718

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 4309/734, 1938/4718?

Answer: LCM of Numerators as per given numbers 4309/734, 1938/4718 is

LCM of Numerators i.e. for 4309,1938 is 8350842

GCF of denominators i.e. for 734,4718 is 2.

Thus, LCM of Fractions is 4175421.Finally, LCM of Fractions for 4309/734, 1938/4718 is 4175421.